24,924,147

3 × 47² × 3761

24,924,147 factors as 3 × 47^2 × 3761. Its 12 positive divisors give a proper-divisor sum of 9,039,189, so this integer is deficient. The Collatz stopping time is 198 steps.

Prime Factor Structure

Factorization String 3 × 47^2 × 3761

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 33,963,336

Proper Divisor Sum 9,039,189

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #24924127 ← → #24924149

Radix Representation

Decimal	24924147
Binary	1011111000100111111110011 (25 bits)
Octal	0o137047763
Hexadecimal	0x17C4FF3

Divisor Catalog (12)

1 3 47 141 2,209 3,761 6,627 11,283 176,767 530,301 8,308,049 24,924,147

Collatz Trajectory (198 steps to reach 1)

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

24,924,147 74,772,442 37,386,221 112,158,664 56,079,332 28,039,666 14,019,833 42,059,500 21,029,750 10,514,875 31,544,626 15,772,313 47,316,940 23,658,470 11,829,235 35,487,706 17,743,853 53,231,560 26,615,780 13,307,890 6,653,945 19,961,836 9,980,918 4,990,459 14,971,378 7,485,689 22,457,068 11,228,534 5,614,267 16,842,802 8,421,401 25,264,204 12,632,102 6,316,051 18,948,154 9,474,077 28,422,232 14,211,116 7,105,558 3,552,779 10,658,338 5,329,169 15,987,508 7,993,754 3,996,877 11,990,632 5,995,316 2,997,658 1,498,829 4,496,488 2,248,244 1,124,122 562,061 1,686,184 843,092 421,546 210,773 632,320 316,160 158,080

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