78,485,056

2⁶ × 13 × 17 × 31 × 179

78,485,056 factors as 2^6 × 13 × 17 × 31 × 179. Its 112 positive divisors give a proper-divisor sum of 105,857,984, so this integer is abundant. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 2^6 × 13 × 17 × 31 × 179

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 112

Divisor Sum (σ) 184,343,040

Proper Divisor Sum 105,857,984

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #78485053 ← → #78485059

Radix Representation

Decimal	78485056
Binary	100101011011001011001000000 (27 bits)
Octal	0o453313100
Hexadecimal	0x4AD9640

Divisor Catalog (60 of 112)

1 2 4 8 13 16 17 26 31 32 34 52 62 64 68 104 124 136 179 208 221 248 272 358 403 416 442 496 527 544 716 806 832 884 992 1,054 1,088 1,432 1,612 1,768 1,984 2,108 2,327 2,864 3,043 3,224 3,536 4,216 4,654 5,549 5,728 6,086 6,448 6,851 7,072 8,432 9,308 11,098 11,456 12,172

Collatz Trajectory (91 steps to reach 1)

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

78,485,056 39,242,528 19,621,264 9,810,632 4,905,316 2,452,658 1,226,329 3,678,988 1,839,494 919,747 2,759,242 1,379,621 4,138,864 2,069,432 1,034,716 517,358 258,679 776,038 388,019 1,164,058 582,029 1,746,088 873,044 436,522 218,261 654,784 327,392 163,696 81,848 40,924 20,462 10,231 30,694 15,347 46,042 23,021 69,064 34,532 17,266 8,633 25,900 12,950 6,475 19,426 9,713 29,140 14,570 7,285 21,856 10,928 5,464 2,732 1,366 683 2,050 1,025 3,076 1,538 769 2,308

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