24,258,742

2 × 83 × 317 × 461

24,258,742 factors as 2 × 83 × 317 × 461. Its 16 positive divisors give a proper-divisor sum of 12,764,090, so this integer is deficient. The Collatz stopping time is 247 steps.

Prime Factor Structure

Factorization String 2 × 83 × 317 × 461

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 37,022,832

Proper Divisor Sum 12,764,090

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #24258733 ← → #24258743

Radix Representation

Decimal	24258742
Binary	1011100100010100010110110 (25 bits)
Octal	0o134424266
Hexadecimal	0x17228B6

Divisor Catalog (16)

1 2 83 166 317 461 634 922 26,311 38,263 52,622 76,526 146,137 292,274 12,129,371 24,258,742

Collatz Trajectory (247 steps to reach 1)

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

24,258,742 12,129,371 36,388,114 18,194,057 54,582,172 27,291,086 13,645,543 40,936,630 20,468,315 61,404,946 30,702,473 92,107,420 46,053,710 23,026,855 69,080,566 34,540,283 103,620,850 51,810,425 155,431,276 77,715,638 38,857,819 116,573,458 58,286,729 174,860,188 87,430,094 43,715,047 131,145,142 65,572,571 196,717,714 98,358,857 295,076,572 147,538,286 73,769,143 221,307,430 110,653,715 331,961,146 165,980,573 497,941,720 248,970,860 124,485,430 62,242,715 186,728,146 93,364,073 280,092,220 140,046,110 70,023,055 210,069,166 105,034,583 315,103,750 157,551,875 472,655,626 236,327,813 708,983,440 354,491,720 177,245,860 88,622,930 44,311,465 132,934,396 66,467,198 33,233,599

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