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Atlas › Integer Profiles › Node 55,644,448

55,644,448

25 × 37 × 46997
Abundant Even Composite

55,644,448 factors as 2^5 × 37 × 46997. Its 24 positive divisors give a proper-divisor sum of 56,868,764, so this integer is abundant. The Collatz stopping time is 318 steps.

Prime Factor Structure

Factorization String 2^5 × 37 × 46997
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 112,513,212
Proper Divisor Sum 56,868,764
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #55644443 ← → #55644461

Radix Representation

Decimal 55644448
Binary 11010100010001000100100000 (26 bits)
Octal 0o324210440
Hexadecimal 0x3511120

Divisor Catalog (24)

1 2 4 8 16 32 37 74 148 296 592 1,184 46,997 93,994 187,988 375,976 751,952 1,503,904 1,738,889 3,477,778 6,955,556 13,911,112 27,822,224 55,644,448

Collatz Trajectory (318 steps to reach 1)

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

55,644,448 27,822,224 13,911,112 6,955,556 3,477,778 1,738,889 5,216,668 2,608,334 1,304,167 3,912,502 1,956,251 5,868,754 2,934,377 8,803,132 4,401,566 2,200,783 6,602,350 3,301,175 9,903,526 4,951,763 14,855,290 7,427,645 22,282,936 11,141,468 5,570,734 2,785,367 8,356,102 4,178,051 12,534,154 6,267,077 18,801,232 9,400,616 4,700,308 2,350,154 1,175,077 3,525,232 1,762,616 881,308 440,654 220,327 660,982 330,491 991,474 495,737 1,487,212 743,606 371,803 1,115,410 557,705 1,673,116 836,558 418,279 1,254,838 627,419 1,882,258 941,129 2,823,388 1,411,694 705,847 2,117,542

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