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Atlas › Integer Profiles › Node 9,107,770

9,107,770

2 × 5 × 7 × 23 × 5657
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 7 × 23 × 5657
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 19,554,048
Proper Divisor Sum 10,446,278
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #9107743 ← → #9107773

Radix Representation

Decimal 9107770
Binary 100010101111100100111010 (24 bits)
Octal 0o42574472
Hexadecimal 0x8AF93A

Divisor Catalog (32)

1 2 5 7 10 14 23 35 46 70 115 161 230 322 805 1,610 5,657 11,314 28,285 39,599 56,570 79,198 130,111 197,995 260,222 395,990 650,555 910,777 1,301,110 1,821,554 4,553,885 9,107,770

Collatz Trajectory (243 steps to reach 1)

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

9,107,770 4,553,885 13,661,656 6,830,828 3,415,414 1,707,707 5,123,122 2,561,561 7,684,684 3,842,342 1,921,171 5,763,514 2,881,757 8,645,272 4,322,636 2,161,318 1,080,659 3,241,978 1,620,989 4,862,968 2,431,484 1,215,742 607,871 1,823,614 911,807 2,735,422 1,367,711 4,103,134 2,051,567 6,154,702 3,077,351 9,232,054 4,616,027 13,848,082 6,924,041 20,772,124 10,386,062 5,193,031 15,579,094 7,789,547 23,368,642 11,684,321 35,052,964 17,526,482 8,763,241 26,289,724 13,144,862 6,572,431 19,717,294 9,858,647 29,575,942 14,787,971 44,363,914 22,181,957 66,545,872 33,272,936 16,636,468 8,318,234 4,159,117 12,477,352

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