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479,840

25 × 5 × 2999
Abundant Even Composite

479,840 factors as 2^5 × 5 × 2999. Its 24 positive divisors give a proper-divisor sum of 654,160, so this integer is abundant. The Collatz stopping time is 68 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 2999
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,134,000
Proper Divisor Sum 654,160
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #479839 ← → #479861

Radix Representation

Decimal 479840
Binary 1110101001001100000 (19 bits)
Octal 0o1651140
Hexadecimal 0x75260

Divisor Catalog (24)

1 2 4 5 8 10 16 20 32 40 80 160 2,999 5,998 11,996 14,995 23,992 29,990 47,984 59,980 95,968 119,960 239,920 479,840

Collatz Trajectory (68 steps to reach 1)

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

479,840 239,920 119,960 59,980 29,990 14,995 44,986 22,493 67,480 33,740 16,870 8,435 25,306 12,653 37,960 18,980 9,490 4,745 14,236 7,118 3,559 10,678 5,339 16,018 8,009 24,028 12,014 6,007 18,022 9,011 27,034 13,517 40,552 20,276 10,138 5,069 15,208 7,604 3,802 1,901 5,704 2,852 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85

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