λ
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Atlas › Integer Profiles › Node 9,107,740

9,107,740

22 × 5 × 29 × 41 × 383
Abundant Even Composite

9,107,740 factors as 2^2 × 5 × 29 × 41 × 383. Its 48 positive divisors give a proper-divisor sum of 11,213,540, so this integer is abundant. The Collatz stopping time is 243 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 29 × 41 × 383
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 20,321,280
Proper Divisor Sum 11,213,540
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #9107731 ← → #9107741

Radix Representation

Decimal 9107740
Binary 100010101111100100011100 (24 bits)
Octal 0o42574434
Hexadecimal 0x8AF91C

Divisor Catalog (48)

1 2 4 5 10 20 29 41 58 82 116 145 164 205 290 383 410 580 766 820 1,189 1,532 1,915 2,378 3,830 4,756 5,945 7,660 11,107 11,890 15,703 22,214 23,780 31,406 44,428 55,535 62,812 78,515 111,070 157,030 222,140 314,060 455,387 910,774 1,821,548 2,276,935 4,553,870 9,107,740

Collatz Trajectory (243 steps to reach 1)

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

9,107,740 4,553,870 2,276,935 6,830,806 3,415,403 10,246,210 5,123,105 15,369,316 7,684,658 3,842,329 11,526,988 5,763,494 2,881,747 8,645,242 4,322,621 12,967,864 6,483,932 3,241,966 1,620,983 4,862,950 2,431,475 7,294,426 3,647,213 10,941,640 5,470,820 2,735,410 1,367,705 4,103,116 2,051,558 1,025,779 3,077,338 1,538,669 4,616,008 2,308,004 1,154,002 577,001 1,731,004 865,502 432,751 1,298,254 649,127 1,947,382 973,691 2,921,074 1,460,537 4,381,612 2,190,806 1,095,403 3,286,210 1,643,105 4,929,316 2,464,658 1,232,329 3,696,988 1,848,494 924,247 2,772,742 1,386,371 4,159,114 2,079,557

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