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Atlas › Integer Profiles › Node 10,247,631

10,247,631

3 × 19 × 37 × 43 × 113
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 19 × 37 × 43 × 113
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,248,640
Proper Divisor Sum 5,001,009
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #10247623 ← → #10247641

Radix Representation

Decimal 10247631
Binary 100111000101110111001111 (24 bits)
Octal 0o47056717
Hexadecimal 0x9C5DCF

Divisor Catalog (32)

1 3 19 37 43 57 111 113 129 339 703 817 1,591 2,109 2,147 2,451 4,181 4,773 4,859 6,441 12,543 14,577 30,229 79,439 90,687 92,321 179,783 238,317 276,963 539,349 3,415,877 10,247,631

Collatz Trajectory (388 steps to reach 1)

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

10,247,631 30,742,894 15,371,447 46,114,342 23,057,171 69,171,514 34,585,757 103,757,272 51,878,636 25,939,318 12,969,659 38,908,978 19,454,489 58,363,468 29,181,734 14,590,867 43,772,602 21,886,301 65,658,904 32,829,452 16,414,726 8,207,363 24,622,090 12,311,045 36,933,136 18,466,568 9,233,284 4,616,642 2,308,321 6,924,964 3,462,482 1,731,241 5,193,724 2,596,862 1,298,431 3,895,294 1,947,647 5,842,942 2,921,471 8,764,414 4,382,207 13,146,622 6,573,311 19,719,934 9,859,967 29,579,902 14,789,951 44,369,854 22,184,927 66,554,782 33,277,391 99,832,174 49,916,087 149,748,262 74,874,131 224,622,394 112,311,197 336,933,592 168,466,796 84,233,398

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