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Atlas › Integer Profiles › Node 7,604,475

7,604,475

3 × 52 × 41 × 2473
Deficient Odd Composite

7,604,475 factors as 3 × 5^2 × 41 × 2473. Its 24 positive divisors give a proper-divisor sum of 5,280,117, so this integer is deficient. The Collatz stopping time is 248 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 41 × 2473
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,884,592
Proper Divisor Sum 5,280,117
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #7604473 ← → #7604479

Radix Representation

Decimal 7604475
Binary 11101000000100011111011 (23 bits)
Octal 0o35004373
Hexadecimal 0x7408FB

Divisor Catalog (24)

1 3 5 15 25 41 75 123 205 615 1,025 2,473 3,075 7,419 12,365 37,095 61,825 101,393 185,475 304,179 506,965 1,520,895 2,534,825 7,604,475

Collatz Trajectory (248 steps to reach 1)

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

7,604,475 22,813,426 11,406,713 34,220,140 17,110,070 8,555,035 25,665,106 12,832,553 38,497,660 19,248,830 9,624,415 28,873,246 14,436,623 43,309,870 21,654,935 64,964,806 32,482,403 97,447,210 48,723,605 146,170,816 73,085,408 36,542,704 18,271,352 9,135,676 4,567,838 2,283,919 6,851,758 3,425,879 10,277,638 5,138,819 15,416,458 7,708,229 23,124,688 11,562,344 5,781,172 2,890,586 1,445,293 4,335,880 2,167,940 1,083,970 541,985 1,625,956 812,978 406,489 1,219,468 609,734 304,867 914,602 457,301 1,371,904 685,952 342,976 171,488 85,744 42,872 21,436 10,718 5,359 16,078 8,039

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