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Atlas › Integer Profiles › Node 9,200,316

9,200,316

22 × 3 × 769 × 997
Abundant Even Composite

9,200,316 factors as 2^2 × 3 × 769 × 997. Its 24 positive divisors give a proper-divisor sum of 12,316,564, so this integer is abundant. The Collatz stopping time is 150 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 769 × 997
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 21,516,880
Proper Divisor Sum 12,316,564
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #9200293 ← → #9200327

Radix Representation

Decimal 9200316
Binary 100011000110001010111100 (24 bits)
Octal 0o43061274
Hexadecimal 0x8C62BC

Divisor Catalog (24)

1 2 3 4 6 12 769 997 1,538 1,994 2,307 2,991 3,076 3,988 4,614 5,982 9,228 11,964 766,693 1,533,386 2,300,079 3,066,772 4,600,158 9,200,316

Collatz Trajectory (150 steps to reach 1)

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

9,200,316 4,600,158 2,300,079 6,900,238 3,450,119 10,350,358 5,175,179 15,525,538 7,762,769 23,288,308 11,644,154 5,822,077 17,466,232 8,733,116 4,366,558 2,183,279 6,549,838 3,274,919 9,824,758 4,912,379 14,737,138 7,368,569 22,105,708 11,052,854 5,526,427 16,579,282 8,289,641 24,868,924 12,434,462 6,217,231 18,651,694 9,325,847 27,977,542 13,988,771 41,966,314 20,983,157 62,949,472 31,474,736 15,737,368 7,868,684 3,934,342 1,967,171 5,901,514 2,950,757 8,852,272 4,426,136 2,213,068 1,106,534 553,267 1,659,802 829,901 2,489,704 1,244,852 622,426 311,213 933,640 466,820 233,410 116,705 350,116

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