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Atlas › Integer Profiles › Node 24,938,680

24,938,680

23 × 5 × 13 × 199 × 241
Abundant Even Composite

24,938,680 factors as 2^3 × 5 × 13 × 199 × 241. Its 64 positive divisors give a proper-divisor sum of 36,045,320, so this integer is abundant. The Collatz stopping time is 198 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 13 × 199 × 241
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 60,984,000
Proper Divisor Sum 36,045,320
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #24938671 ← → #24938681

Radix Representation

Decimal 24938680
Binary 1011111001000100010111000 (25 bits)
Octal 0o137104270
Hexadecimal 0x17C88B8

Divisor Catalog (60 of 64)

1 2 4 5 8 10 13 20 26 40 52 65 104 130 199 241 260 398 482 520 796 964 995 1,205 1,592 1,928 1,990 2,410 2,587 3,133 3,980 4,820 5,174 6,266 7,960 9,640 10,348 12,532 12,935 15,665 20,696 25,064 25,870 31,330 47,959 51,740 62,660 95,918 103,480 125,320 191,836 239,795 383,672 479,590 623,467 959,180 1,246,934 1,918,360 2,493,868 3,117,335

Collatz Trajectory (198 steps to reach 1)

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

24,938,680 12,469,340 6,234,670 3,117,335 9,352,006 4,676,003 14,028,010 7,014,005 21,042,016 10,521,008 5,260,504 2,630,252 1,315,126 657,563 1,972,690 986,345 2,959,036 1,479,518 739,759 2,219,278 1,109,639 3,328,918 1,664,459 4,993,378 2,496,689 7,490,068 3,745,034 1,872,517 5,617,552 2,808,776 1,404,388 702,194 351,097 1,053,292 526,646 263,323 789,970 394,985 1,184,956 592,478 296,239 888,718 444,359 1,333,078 666,539 1,999,618 999,809 2,999,428 1,499,714 749,857 2,249,572 1,124,786 562,393 1,687,180 843,590 421,795 1,265,386 632,693 1,898,080 949,040

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