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Atlas › Integer Profiles › Node 24,673,698

24,673,698

2 × 32 × 7 × 17 × 11519
Abundant Even Composite

24,673,698 factors as 2 × 3^2 × 7 × 17 × 11519. Its 48 positive divisors give a proper-divisor sum of 40,022,622, so this integer is abundant. The Collatz stopping time is 229 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 17 × 11519
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 64,696,320
Proper Divisor Sum 40,022,622
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #24673697 ← → #24673703

Radix Representation

Decimal 24673698
Binary 1011110000111110110100010 (25 bits)
Octal 0o136076642
Hexadecimal 0x1787DA2

Divisor Catalog (48)

1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 238 306 357 714 1,071 2,142 11,519 23,038 34,557 69,114 80,633 103,671 161,266 195,823 207,342 241,899 391,646 483,798 587,469 725,697 1,174,938 1,370,761 1,451,394 1,762,407 2,741,522 3,524,814 4,112,283 8,224,566 12,336,849 24,673,698

Collatz Trajectory (229 steps to reach 1)

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

24,673,698 12,336,849 37,010,548 18,505,274 9,252,637 27,757,912 13,878,956 6,939,478 3,469,739 10,409,218 5,204,609 15,613,828 7,806,914 3,903,457 11,710,372 5,855,186 2,927,593 8,782,780 4,391,390 2,195,695 6,587,086 3,293,543 9,880,630 4,940,315 14,820,946 7,410,473 22,231,420 11,115,710 5,557,855 16,673,566 8,336,783 25,010,350 12,505,175 37,515,526 18,757,763 56,273,290 28,136,645 84,409,936 42,204,968 21,102,484 10,551,242 5,275,621 15,826,864 7,913,432 3,956,716 1,978,358 989,179 2,967,538 1,483,769 4,451,308 2,225,654 1,112,827 3,338,482 1,669,241 5,007,724 2,503,862 1,251,931 3,755,794 1,877,897 5,633,692

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