78,956,997

3 × 7 × 61 × 61637

78,956,997 factors as 3 × 7 × 61 × 61637. Its 16 positive divisors give a proper-divisor sum of 43,332,795, so this integer is deficient. The Collatz stopping time is 148 steps.

Prime Factor Structure

Factorization String 3 × 7 × 61 × 61637

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 122,289,792

Proper Divisor Sum 43,332,795

Digit Sum / Digital Root 60 (Root: 6)

Adjacent Primes #78956981 ← → #78957049

Radix Representation

Decimal	78956997
Binary	100101101001100100111000101 (27 bits)
Octal	0o455144705
Hexadecimal	0x4B4C9C5

Divisor Catalog (16)

1 3 7 21 61 183 427 1,281 61,637 184,911 431,459 1,294,377 3,759,857 11,279,571 26,318,999 78,956,997

Collatz Trajectory (148 steps to reach 1)

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

78,956,997 236,870,992 118,435,496 59,217,748 29,608,874 14,804,437 44,413,312 22,206,656 11,103,328 5,551,664 2,775,832 1,387,916 693,958 346,979 1,040,938 520,469 1,561,408 780,704 390,352 195,176 97,588 48,794 24,397 73,192 36,596 18,298 9,149 27,448 13,724 6,862 3,431 10,294 5,147 15,442 7,721 23,164 11,582 5,791 17,374 8,687 26,062 13,031 39,094 19,547 58,642 29,321 87,964 43,982 21,991 65,974 32,987 98,962 49,481 148,444 74,222 37,111 111,334 55,667 167,002 83,501

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