λ
Modular Archive

9,107,424

25 × 33 × 83 × 127
Abundant Even Composite

The decimal integer 9,107,424 is 100010101111011111100000 in binary (24 bits), 42573740 in octal and 8AF7E0 in hexadecimal. Its digit sum is 27.

Prime Factor Structure

Factorization String 2^5 × 3^3 × 83 × 127
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 27,095,040
Proper Divisor Sum 17,987,616
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9107411 ← → #9107429

Radix Representation

Decimal 9107424
Binary 100010101111011111100000 (24 bits)
Octal 0o42573740
Hexadecimal 0x8AF7E0

Divisor Catalog (60 of 96)

1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 83 96 108 127 144 166 216 249 254 288 332 381 432 498 508 664 747 762 864 996 1,016 1,143 1,328 1,494 1,524 1,992 2,032 2,241 2,286 2,656 2,988 3,048 3,429 3,984 4,064 4,482 4,572 5,976 6,096 6,858 7,968 8,964 9,144

Collatz Trajectory (106 steps to reach 1)

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

9,107,424 4,553,712 2,276,856 1,138,428 569,214 284,607 853,822 426,911 1,280,734 640,367 1,921,102 960,551 2,881,654 1,440,827 4,322,482 2,161,241 6,483,724 3,241,862 1,620,931 4,862,794 2,431,397 7,294,192 3,647,096 1,823,548 911,774 455,887 1,367,662 683,831 2,051,494 1,025,747 3,077,242 1,538,621 4,615,864 2,307,932 1,153,966 576,983 1,730,950 865,475 2,596,426 1,298,213 3,894,640 1,947,320 973,660 486,830 243,415 730,246 365,123 1,095,370 547,685 1,643,056 821,528 410,764 205,382 102,691 308,074 154,037 462,112 231,056 115,528 57,764

More profiles

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