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Atlas › Integer Profiles › Node 23,948,704

23,948,704

25 × 13 × 23 × 2503
Abundant Even Composite

23,948,704 factors as 2^5 × 13 × 23 × 2503. Its 48 positive divisors give a proper-divisor sum of 29,055,968, so this integer is abundant. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 2^5 × 13 × 23 × 2503
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 53,004,672
Proper Divisor Sum 29,055,968
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #23948689 ← → #23948707

Radix Representation

Decimal 23948704
Binary 1011011010110110110100000 (25 bits)
Octal 0o133266640
Hexadecimal 0x16D6DA0

Divisor Catalog (48)

1 2 4 8 13 16 23 26 32 46 52 92 104 184 208 299 368 416 598 736 1,196 2,392 2,503 4,784 5,006 9,568 10,012 20,024 32,539 40,048 57,569 65,078 80,096 115,138 130,156 230,276 260,312 460,552 520,624 748,397 921,104 1,041,248 1,496,794 1,842,208 2,993,588 5,987,176 11,974,352 23,948,704

Collatz Trajectory (167 steps to reach 1)

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

23,948,704 11,974,352 5,987,176 2,993,588 1,496,794 748,397 2,245,192 1,122,596 561,298 280,649 841,948 420,974 210,487 631,462 315,731 947,194 473,597 1,420,792 710,396 355,198 177,599 532,798 266,399 799,198 399,599 1,198,798 599,399 1,798,198 899,099 2,697,298 1,348,649 4,045,948 2,022,974 1,011,487 3,034,462 1,517,231 4,551,694 2,275,847 6,827,542 3,413,771 10,241,314 5,120,657 15,361,972 7,680,986 3,840,493 11,521,480 5,760,740 2,880,370 1,440,185 4,320,556 2,160,278 1,080,139 3,240,418 1,620,209 4,860,628 2,430,314 1,215,157 3,645,472 1,822,736 911,368

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