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Atlas › Integer Profiles › Node 24,677,072

24,677,072

24 × 7 × 79 × 2789
Abundant Even Composite

24,677,072 factors as 2^4 × 7 × 79 × 2789. Its 40 positive divisors give a proper-divisor sum of 30,676,528, so this integer is abundant. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 79 × 2789
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 55,353,600
Proper Divisor Sum 30,676,528
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #24677071 ← → #24677101

Radix Representation

Decimal 24677072
Binary 1011110001000101011010000 (25 bits)
Octal 0o136105320
Hexadecimal 0x1788AD0

Divisor Catalog (40)

1 2 4 7 8 14 16 28 56 79 112 158 316 553 632 1,106 1,264 2,212 2,789 4,424 5,578 8,848 11,156 19,523 22,312 39,046 44,624 78,092 156,184 220,331 312,368 440,662 881,324 1,542,317 1,762,648 3,084,634 3,525,296 6,169,268 12,338,536 24,677,072

Collatz Trajectory (105 steps to reach 1)

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

24,677,072 12,338,536 6,169,268 3,084,634 1,542,317 4,626,952 2,313,476 1,156,738 578,369 1,735,108 867,554 433,777 1,301,332 650,666 325,333 976,000 488,000 244,000 122,000 61,000 30,500 15,250 7,625 22,876 11,438 5,719 17,158 8,579 25,738 12,869 38,608 19,304 9,652 4,826 2,413 7,240 3,620 1,810 905 2,716 1,358 679 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360

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