24,972,716

2² × 73 × 85523

24,972,716 factors as 2^2 × 73 × 85523. Its 12 positive divisors give a proper-divisor sum of 19,328,716, so this integer is deficient. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 2^2 × 73 × 85523

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 44,301,432

Proper Divisor Sum 19,328,716

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #24972713 ← → #24972721

Radix Representation

Decimal	24972716
Binary	1011111010000110110101100 (25 bits)
Octal	0o137206654
Hexadecimal	0x17D0DAC

Divisor Catalog (12)

1 2 4 73 146 292 85,523 171,046 342,092 6,243,179 12,486,358 24,972,716

Collatz Trajectory (105 steps to reach 1)

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

24,972,716 12,486,358 6,243,179 18,729,538 9,364,769 28,094,308 14,047,154 7,023,577 21,070,732 10,535,366 5,267,683 15,803,050 7,901,525 23,704,576 11,852,288 5,926,144 2,963,072 1,481,536 740,768 370,384 185,192 92,596 46,298 23,149 69,448 34,724 17,362 8,681 26,044 13,022 6,511 19,534 9,767 29,302 14,651 43,954 21,977 65,932 32,966 16,483 49,450 24,725 74,176 37,088 18,544 9,272 4,636 2,318 1,159 3,478 1,739 5,218 2,609 7,828 3,914 1,957 5,872 2,936 1,468 734

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