960,720

2⁴ × 3 × 5 × 4003

960,720 factors as 2^4 × 3 × 5 × 4003. Its 40 positive divisors give a proper-divisor sum of 2,018,256, so this integer is abundant. The Collatz stopping time is 183 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 4003

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 2,978,976

Proper Divisor Sum 2,018,256

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #960709 ← → #960737

Radix Representation

Decimal	960720
Binary	11101010100011010000 (20 bits)
Octal	0o3524320
Hexadecimal	0xEA8D0

Divisor Catalog (40)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 4,003 8,006 12,009 16,012 20,015 24,018 32,024 40,030 48,036 60,045 64,048 80,060 96,072 120,090 160,120 192,144 240,180 320,240 480,360 960,720

Collatz Trajectory (183 steps to reach 1)

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

960,720 480,360 240,180 120,090 60,045 180,136 90,068 45,034 22,517 67,552 33,776 16,888 8,444 4,222 2,111 6,334 3,167 9,502 4,751 14,254 7,127 21,382 10,691 32,074 16,037 48,112 24,056 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841 68,524 34,262 17,131 51,394 25,697 77,092 38,546 19,273 57,820 28,910 14,455 43,366 21,683 65,050 32,525 97,576 48,788 24,394 12,197 36,592

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