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Atlas › Integer Profiles › Node 54,075,368

54,075,368

23 × 172 × 19 × 1231
Abundant Even Composite

54,075,368 factors as 2^3 × 17^2 × 19 × 1231. Its 48 positive divisors give a proper-divisor sum of 59,391,832, so this integer is abundant. The Collatz stopping time is 150 steps.

Prime Factor Structure

Factorization String 2^3 × 17^2 × 19 × 1231
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 113,467,200
Proper Divisor Sum 59,391,832
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #54075367 ← → #54075403

Radix Representation

Decimal 54075368
Binary 11001110010001111111101000 (26 bits)
Octal 0o316217750
Hexadecimal 0x3391FE8

Divisor Catalog (48)

1 2 4 8 17 19 34 38 68 76 136 152 289 323 578 646 1,156 1,231 1,292 2,312 2,462 2,584 4,924 5,491 9,848 10,982 20,927 21,964 23,389 41,854 43,928 46,778 83,708 93,556 167,416 187,112 355,759 397,613 711,518 795,226 1,423,036 1,590,452 2,846,072 3,180,904 6,759,421 13,518,842 27,037,684 54,075,368

Collatz Trajectory (150 steps to reach 1)

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

54,075,368 27,037,684 13,518,842 6,759,421 20,278,264 10,139,132 5,069,566 2,534,783 7,604,350 3,802,175 11,406,526 5,703,263 17,109,790 8,554,895 25,664,686 12,832,343 38,497,030 19,248,515 57,745,546 28,872,773 86,618,320 43,309,160 21,654,580 10,827,290 5,413,645 16,240,936 8,120,468 4,060,234 2,030,117 6,090,352 3,045,176 1,522,588 761,294 380,647 1,141,942 570,971 1,712,914 856,457 2,569,372 1,284,686 642,343 1,927,030 963,515 2,890,546 1,445,273 4,335,820 2,167,910 1,083,955 3,251,866 1,625,933 4,877,800 2,438,900 1,219,450 609,725 1,829,176 914,588 457,294 228,647 685,942 342,971

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