55,377,820

2² × 5 × 29 × 95479

55,377,820 factors as 2^2 × 5 × 29 × 95479. Its 24 positive divisors give a proper-divisor sum of 64,926,980, so this integer is abundant. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 29 × 95479

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 120,304,800

Proper Divisor Sum 64,926,980

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #55377793 ← → #55377827

Radix Representation

Decimal	55377820
Binary	11010011001111111110011100 (26 bits)
Octal	0o323177634
Hexadecimal	0x34CFF9C

Divisor Catalog (24)

Collatz Trajectory (194 steps to reach 1)

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

55,377,820 27,688,910 13,844,455 41,533,366 20,766,683 62,300,050 31,150,025 93,450,076 46,725,038 23,362,519 70,087,558 35,043,779 105,131,338 52,565,669 157,697,008 78,848,504 39,424,252 19,712,126 9,856,063 29,568,190 14,784,095 44,352,286 22,176,143 66,528,430 33,264,215 99,792,646 49,896,323 149,688,970 74,844,485 224,533,456 112,266,728 56,133,364 28,066,682 14,033,341 42,100,024 21,050,012 10,525,006 5,262,503 15,787,510 7,893,755 23,681,266 11,840,633 35,521,900 17,760,950 8,880,475 26,641,426 13,320,713 39,962,140 19,981,070 9,990,535 29,971,606 14,985,803 44,957,410 22,478,705 67,436,116 33,718,058 16,859,029 50,577,088 25,288,544 12,644,272

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