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Atlas › Integer Profiles › Node 3,616,635

3,616,635

3 × 5 × 11 × 23 × 953
Deficient Odd Composite

3,616,635 factors as 3 × 5 × 11 × 23 × 953. Its 32 positive divisors give a proper-divisor sum of 2,977,413, so this integer is deficient. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 3 × 5 × 11 × 23 × 953
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,594,048
Proper Divisor Sum 2,977,413
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3616633 ← → #3616637

Radix Representation

Decimal 3616635
Binary 1101110010111101111011 (22 bits)
Octal 0o15627573
Hexadecimal 0x372F7B

Divisor Catalog (32)

1 3 5 11 15 23 33 55 69 115 165 253 345 759 953 1,265 2,859 3,795 4,765 10,483 14,295 21,919 31,449 52,415 65,757 109,595 157,245 241,109 328,785 723,327 1,205,545 3,616,635

Collatz Trajectory (115 steps to reach 1)

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

3,616,635 10,849,906 5,424,953 16,274,860 8,137,430 4,068,715 12,206,146 6,103,073 18,309,220 9,154,610 4,577,305 13,731,916 6,865,958 3,432,979 10,298,938 5,149,469 15,448,408 7,724,204 3,862,102 1,931,051 5,793,154 2,896,577 8,689,732 4,344,866 2,172,433 6,517,300 3,258,650 1,629,325 4,887,976 2,443,988 1,221,994 610,997 1,832,992 916,496 458,248 229,124 114,562 57,281 171,844 85,922 42,961 128,884 64,442 32,221 96,664 48,332 24,166 12,083 36,250 18,125 54,376 27,188 13,594 6,797 20,392 10,196 5,098 2,549 7,648 3,824

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