λ
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Atlas › Integer Profiles › Node 57,735,975

57,735,975

3 × 52 × 11 × 47 × 1489
Deficient Odd Composite

57,735,975 factors as 3 × 5^2 × 11 × 47 × 1489. Its 48 positive divisors give a proper-divisor sum of 48,685,785, so this integer is deficient. The Collatz stopping time is 282 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 11 × 47 × 1489
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 106,421,760
Proper Divisor Sum 48,685,785
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #57735973 ← → #57736001

Radix Representation

Decimal 57735975
Binary 11011100001111101100100111 (26 bits)
Octal 0o334175447
Hexadecimal 0x370FB27

Divisor Catalog (48)

1 3 5 11 15 25 33 47 55 75 141 165 235 275 517 705 825 1,175 1,489 1,551 2,585 3,525 4,467 7,445 7,755 12,925 16,379 22,335 37,225 38,775 49,137 69,983 81,895 111,675 209,949 245,685 349,915 409,475 769,813 1,049,745 1,228,425 1,749,575 2,309,439 3,849,065 5,248,725 11,547,195 19,245,325 57,735,975

Collatz Trajectory (282 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

57,735,975 173,207,926 86,603,963 259,811,890 129,905,945 389,717,836 194,858,918 97,429,459 292,288,378 146,144,189 438,432,568 219,216,284 109,608,142 54,804,071 164,412,214 82,206,107 246,618,322 123,309,161 369,927,484 184,963,742 92,481,871 277,445,614 138,722,807 416,168,422 208,084,211 624,252,634 312,126,317 936,378,952 468,189,476 234,094,738 117,047,369 351,142,108 175,571,054 87,785,527 263,356,582 131,678,291 395,034,874 197,517,437 592,552,312 296,276,156 148,138,078 74,069,039 222,207,118 111,103,559 333,310,678 166,655,339 499,966,018 249,983,009 749,949,028 374,974,514 187,487,257 562,461,772 281,230,886 140,615,443 421,846,330 210,923,165 632,769,496 316,384,748 158,192,374 79,096,187

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