61,318,974

2 × 3 × 419 × 24391

61,318,974 factors as 2 × 3 × 419 × 24391. Its 16 positive divisors give a proper-divisor sum of 61,616,706, so this integer is abundant. The Collatz stopping time is 264 steps.

Prime Factor Structure

Factorization String 2 × 3 × 419 × 24391

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 122,935,680

Proper Divisor Sum 61,616,706

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #61318967 ← → #61318981

Radix Representation

Decimal	61318974
Binary	11101001111010011100111110 (26 bits)
Octal	0o351723476
Hexadecimal	0x3A7A73E

Divisor Catalog (16)

1 2 3 6 419 838 1,257 2,514 24,391 48,782 73,173 146,346 10,219,829 20,439,658 30,659,487 61,318,974

Collatz Trajectory (264 steps to reach 1)

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

61,318,974 30,659,487 91,978,462 45,989,231 137,967,694 68,983,847 206,951,542 103,475,771 310,427,314 155,213,657 465,640,972 232,820,486 116,410,243 349,230,730 174,615,365 523,846,096 261,923,048 130,961,524 65,480,762 32,740,381 98,221,144 49,110,572 24,555,286 12,277,643 36,832,930 18,416,465 55,249,396 27,624,698 13,812,349 41,437,048 20,718,524 10,359,262 5,179,631 15,538,894 7,769,447 23,308,342 11,654,171 34,962,514 17,481,257 52,443,772 26,221,886 13,110,943 39,332,830 19,666,415 58,999,246 29,499,623 88,498,870 44,249,435 132,748,306 66,374,153 199,122,460 99,561,230 49,780,615 149,341,846 74,670,923 224,012,770 112,006,385 336,019,156 168,009,578 84,004,789

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