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24,617,536

26 × 193 × 1993
Deficient Even Composite

24,617,536 factors as 2^6 × 193 × 1993. Its 28 positive divisors give a proper-divisor sum of 24,510,636, so this integer is deficient. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 2^6 × 193 × 1993
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 49,128,172
Proper Divisor Sum 24,510,636
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #24617531 ← → #24617539

Radix Representation

Decimal 24617536
Binary 1011101111010001001000000 (25 bits)
Octal 0o135721100
Hexadecimal 0x177A240

Divisor Catalog (28)

1 2 4 8 16 32 64 193 386 772 1,544 1,993 3,088 3,986 6,176 7,972 12,352 15,944 31,888 63,776 127,552 384,649 769,298 1,538,596 3,077,192 6,154,384 12,308,768 24,617,536

Collatz Trajectory (105 steps to reach 1)

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

24,617,536 12,308,768 6,154,384 3,077,192 1,538,596 769,298 384,649 1,153,948 576,974 288,487 865,462 432,731 1,298,194 649,097 1,947,292 973,646 486,823 1,460,470 730,235 2,190,706 1,095,353 3,286,060 1,643,030 821,515 2,464,546 1,232,273 3,696,820 1,848,410 924,205 2,772,616 1,386,308 693,154 346,577 1,039,732 519,866 259,933 779,800 389,900 194,950 97,475 292,426 146,213 438,640 219,320 109,660 54,830 27,415 82,246 41,123 123,370 61,685 185,056 92,528 46,264 23,132 11,566 5,783 17,350 8,675 26,026

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