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Atlas › Integer Profiles › Node 8,107,360

8,107,360

25 × 5 × 50671
Abundant Even Composite

8,107,360 factors as 2^5 × 5 × 50671. Its 24 positive divisors give a proper-divisor sum of 11,046,656, so this integer is abundant. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 50671
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 19,154,016
Proper Divisor Sum 11,046,656
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #8107331 ← → #8107361

Radix Representation

Decimal 8107360
Binary 11110111011010101100000 (23 bits)
Octal 0o36732540
Hexadecimal 0x7BB560

Divisor Catalog (24)

1 2 4 5 8 10 16 20 32 40 80 160 50,671 101,342 202,684 253,355 405,368 506,710 810,736 1,013,420 1,621,472 2,026,840 4,053,680 8,107,360

Collatz Trajectory (85 steps to reach 1)

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

8,107,360 4,053,680 2,026,840 1,013,420 506,710 253,355 760,066 380,033 1,140,100 570,050 285,025 855,076 427,538 213,769 641,308 320,654 160,327 480,982 240,491 721,474 360,737 1,082,212 541,106 270,553 811,660 405,830 202,915 608,746 304,373 913,120 456,560 228,280 114,140 57,070 28,535 85,606 42,803 128,410 64,205 192,616 96,308 48,154 24,077 72,232 36,116 18,058 9,029 27,088 13,544 6,772 3,386 1,693 5,080 2,540 1,270 635 1,906 953 2,860 1,430

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