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Atlas › Integer Profiles › Node 9,106,748

9,106,748

22 × 72 × 97 × 479
Abundant Even Composite

9,106,748 factors as 2^2 × 7^2 × 97 × 479. Its 36 positive divisors give a proper-divisor sum of 9,662,212, so this integer is abundant. The Collatz stopping time is 132 steps.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 97 × 479
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 18,768,960
Proper Divisor Sum 9,662,212
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9106739 ← → #9106759

Radix Representation

Decimal 9106748
Binary 100010101111010100111100 (24 bits)
Octal 0o42572474
Hexadecimal 0x8AF53C

Divisor Catalog (36)

1 2 4 7 14 28 49 97 98 194 196 388 479 679 958 1,358 1,916 2,716 3,353 4,753 6,706 9,506 13,412 19,012 23,471 46,463 46,942 92,926 93,884 185,852 325,241 650,482 1,300,964 2,276,687 4,553,374 9,106,748

Collatz Trajectory (132 steps to reach 1)

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

9,106,748 4,553,374 2,276,687 6,830,062 3,415,031 10,245,094 5,122,547 15,367,642 7,683,821 23,051,464 11,525,732 5,762,866 2,881,433 8,644,300 4,322,150 2,161,075 6,483,226 3,241,613 9,724,840 4,862,420 2,431,210 1,215,605 3,646,816 1,823,408 911,704 455,852 227,926 113,963 341,890 170,945 512,836 256,418 128,209 384,628 192,314 96,157 288,472 144,236 72,118 36,059 108,178 54,089 162,268 81,134 40,567 121,702 60,851 182,554 91,277 273,832 136,916 68,458 34,229 102,688 51,344 25,672 12,836 6,418 3,209 9,628

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