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Atlas › Integer Profiles › Node 24,671,590

24,671,590

2 × 5 × 17 × 103 × 1409
Deficient Even Composite

24,671,590 factors as 2 × 5 × 17 × 103 × 1409. Its 32 positive divisors give a proper-divisor sum of 22,839,770, so this integer is deficient. The Collatz stopping time is 154 steps.

Prime Factor Structure

Factorization String 2 × 5 × 17 × 103 × 1409
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 47,511,360
Proper Divisor Sum 22,839,770
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #24671587 ← → #24671593

Radix Representation

Decimal 24671590
Binary 1011110000111010101100110 (25 bits)
Octal 0o136072546
Hexadecimal 0x1787566

Divisor Catalog (32)

1 2 5 10 17 34 85 103 170 206 515 1,030 1,409 1,751 2,818 3,502 7,045 8,755 14,090 17,510 23,953 47,906 119,765 145,127 239,530 290,254 725,635 1,451,270 2,467,159 4,934,318 12,335,795 24,671,590

Collatz Trajectory (154 steps to reach 1)

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

24,671,590 12,335,795 37,007,386 18,503,693 55,511,080 27,755,540 13,877,770 6,938,885 20,816,656 10,408,328 5,204,164 2,602,082 1,301,041 3,903,124 1,951,562 975,781 2,927,344 1,463,672 731,836 365,918 182,959 548,878 274,439 823,318 411,659 1,234,978 617,489 1,852,468 926,234 463,117 1,389,352 694,676 347,338 173,669 521,008 260,504 130,252 65,126 32,563 97,690 48,845 146,536 73,268 36,634 18,317 54,952 27,476 13,738 6,869 20,608 10,304 5,152 2,576 1,288 644 322 161 484 242 121

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