2,974,992

2⁴ × 3 × 61979

2,974,992 factors as 2^4 × 3 × 61979. Its 20 positive divisors give a proper-divisor sum of 4,710,528, so this integer is abundant. The Collatz stopping time is 120 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 61979

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 7,685,520

Proper Divisor Sum 4,710,528

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #2974991 ← → #2974997

Radix Representation

Decimal	2974992
Binary	1011010110010100010000 (22 bits)
Octal	0o13262420
Hexadecimal	0x2D6510

Divisor Catalog (20)

Collatz Trajectory (120 steps to reach 1)

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

2,974,992 1,487,496 743,748 371,874 185,937 557,812 278,906 139,453 418,360 209,180 104,590 52,295 156,886 78,443 235,330 117,665 352,996 176,498 88,249 264,748 132,374 66,187 198,562 99,281 297,844 148,922 74,461 223,384 111,692 55,846 27,923 83,770 41,885 125,656 62,828 31,414 15,707 47,122 23,561 70,684 35,342 17,671 53,014 26,507 79,522 39,761 119,284 59,642 29,821 89,464 44,732 22,366 11,183 33,550 16,775 50,326 25,163 75,490 37,745 113,236

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