55,464,264

2³ × 3⁵ × 103 × 277

55,464,264 factors as 2^3 × 3^5 × 103 × 277. Its 96 positive divisors give a proper-divisor sum of 102,395,256, so this integer is abundant. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 2^3 × 3^5 × 103 × 277

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 157,859,520

Proper Divisor Sum 102,395,256

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #55464259 ← → #55464289

Radix Representation

Decimal	55464264
Binary	11010011100101000101001000 (26 bits)
Octal	0o323450510
Hexadecimal	0x34E5148

Divisor Catalog (60 of 96)

1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 103 108 162 206 216 243 277 309 324 412 486 554 618 648 824 831 927 972 1,108 1,236 1,662 1,854 1,944 2,216 2,472 2,493 2,781 3,324 3,708 4,986 5,562 6,648 7,416 7,479 8,343 9,972 11,124 14,958 16,686 19,944 22,248 22,437 25,029 28,531 29,916

Collatz Trajectory (194 steps to reach 1)

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

55,464,264 27,732,132 13,866,066 6,933,033 20,799,100 10,399,550 5,199,775 15,599,326 7,799,663 23,398,990 11,699,495 35,098,486 17,549,243 52,647,730 26,323,865 78,971,596 39,485,798 19,742,899 59,228,698 29,614,349 88,843,048 44,421,524 22,210,762 11,105,381 33,316,144 16,658,072 8,329,036 4,164,518 2,082,259 6,246,778 3,123,389 9,370,168 4,685,084 2,342,542 1,171,271 3,513,814 1,756,907 5,270,722 2,635,361 7,906,084 3,953,042 1,976,521 5,929,564 2,964,782 1,482,391 4,447,174 2,223,587 6,670,762 3,335,381 10,006,144 5,003,072 2,501,536 1,250,768 625,384 312,692 156,346 78,173 234,520 117,260 58,630

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