λ
Modular Archive

9,407,120

24 × 5 × 17 × 6917
Abundant Even Composite

The decimal integer 9,407,120 is 100011111000101010010000 in binary (24 bits), 43705220 in octal and 8F8A90 in hexadecimal. Its digit sum is 23.

Prime Factor Structure

Factorization String 2^4 × 5 × 17 × 6917
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 23,161,464
Proper Divisor Sum 13,754,344
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #9407117 ← → #9407131

Radix Representation

Decimal 9407120
Binary 100011111000101010010000 (24 bits)
Octal 0o43705220
Hexadecimal 0x8F8A90

Divisor Catalog (40)

1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1,360 6,917 13,834 27,668 34,585 55,336 69,170 110,672 117,589 138,340 235,178 276,680 470,356 553,360 587,945 940,712 1,175,890 1,881,424 2,351,780 4,703,560 9,407,120

Collatz Trajectory (132 steps to reach 1)

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

9,407,120 4,703,560 2,351,780 1,175,890 587,945 1,763,836 881,918 440,959 1,322,878 661,439 1,984,318 992,159 2,976,478 1,488,239 4,464,718 2,232,359 6,697,078 3,348,539 10,045,618 5,022,809 15,068,428 7,534,214 3,767,107 11,301,322 5,650,661 16,951,984 8,475,992 4,237,996 2,118,998 1,059,499 3,178,498 1,589,249 4,767,748 2,383,874 1,191,937 3,575,812 1,787,906 893,953 2,681,860 1,340,930 670,465 2,011,396 1,005,698 502,849 1,508,548 754,274 377,137 1,131,412 565,706 282,853 848,560 424,280 212,140 106,070 53,035 159,106 79,553 238,660 119,330 59,665

More profiles

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