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Atlas › Integer Profiles › Node 55,921,408

55,921,408

28 × 19 × 11497
Abundant Even Composite

55,921,408 factors as 2^8 × 19 × 11497. Its 36 positive divisors give a proper-divisor sum of 61,588,152, so this integer is abundant. The Collatz stopping time is 256 steps.

Prime Factor Structure

Factorization String 2^8 × 19 × 11497
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 117,509,560
Proper Divisor Sum 61,588,152
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #55921403 ← → #55921421

Radix Representation

Decimal 55921408
Binary 11010101010100101100000000 (26 bits)
Octal 0o325245400
Hexadecimal 0x3554B00

Divisor Catalog (36)

1 2 4 8 16 19 32 38 64 76 128 152 256 304 608 1,216 2,432 4,864 11,497 22,994 45,988 91,976 183,952 218,443 367,904 436,886 735,808 873,772 1,471,616 1,747,544 2,943,232 3,495,088 6,990,176 13,980,352 27,960,704 55,921,408

Collatz Trajectory (256 steps to reach 1)

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

55,921,408 27,960,704 13,980,352 6,990,176 3,495,088 1,747,544 873,772 436,886 218,443 655,330 327,665 982,996 491,498 245,749 737,248 368,624 184,312 92,156 46,078 23,039 69,118 34,559 103,678 51,839 155,518 77,759 233,278 116,639 349,918 174,959 524,878 262,439 787,318 393,659 1,180,978 590,489 1,771,468 885,734 442,867 1,328,602 664,301 1,992,904 996,452 498,226 249,113 747,340 373,670 186,835 560,506 280,253 840,760 420,380 210,190 105,095 315,286 157,643 472,930 236,465 709,396 354,698

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