55,564,432

2⁴ × 7² × 11 × 17 × 379

55,564,432 factors as 2^4 × 7^2 × 11 × 17 × 379. Its 120 positive divisors give a proper-divisor sum of 89,470,928, so this integer is abundant. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 2^4 × 7^2 × 11 × 17 × 379

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 145,035,360

Proper Divisor Sum 89,470,928

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #55564429 ← → #55564447

Radix Representation

Decimal	55564432
Binary	11010011111101100010010000 (26 bits)
Octal	0o323754220
Hexadecimal	0x34FD890

Divisor Catalog (60 of 120)

1 2 4 7 8 11 14 16 17 22 28 34 44 49 56 68 77 88 98 112 119 136 154 176 187 196 238 272 308 374 379 392 476 539 616 748 758 784 833 952 1,078 1,232 1,309 1,496 1,516 1,666 1,904 2,156 2,618 2,653 2,992 3,032 3,332 4,169 4,312 5,236 5,306 6,064 6,443 6,664

Collatz Trajectory (88 steps to reach 1)

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

55,564,432 27,782,216 13,891,108 6,945,554 3,472,777 10,418,332 5,209,166 2,604,583 7,813,750 3,906,875 11,720,626 5,860,313 17,580,940 8,790,470 4,395,235 13,185,706 6,592,853 19,778,560 9,889,280 4,944,640 2,472,320 1,236,160 618,080 309,040 154,520 77,260 38,630 19,315 57,946 28,973 86,920 43,460 21,730 10,865 32,596 16,298 8,149 24,448 12,224 6,112 3,056 1,528 764 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #55,564,431 Browse Full Index Next Integer #55,564,433 →