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Atlas › Integer Profiles › Node 9,249,280

9,249,280

29 × 5 × 3613
Abundant Even Composite

9,249,280 factors as 2^9 × 5 × 3613. Its 40 positive divisors give a proper-divisor sum of 12,933,452, so this integer is abundant. The Collatz stopping time is 57 steps.

Prime Factor Structure

Factorization String 2^9 × 5 × 3613
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 22,182,732
Proper Divisor Sum 12,933,452
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9249269 ← → #9249287

Radix Representation

Decimal 9249280
Binary 100011010010001000000000 (24 bits)
Octal 0o43221000
Hexadecimal 0x8D2200

Divisor Catalog (40)

1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1,280 2,560 3,613 7,226 14,452 18,065 28,904 36,130 57,808 72,260 115,616 144,520 231,232 289,040 462,464 578,080 924,928 1,156,160 1,849,856 2,312,320 4,624,640 9,249,280

Collatz Trajectory (57 steps to reach 1)

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

9,249,280 4,624,640 2,312,320 1,156,160 578,080 289,040 144,520 72,260 36,130 18,065 54,196 27,098 13,549 40,648 20,324 10,162 5,081 15,244 7,622 3,811 11,434 5,717 17,152 8,576 4,288 2,144 1,072 536 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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