λ
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Atlas › Integer Profiles › Node 9,607,422

9,607,422

2 × 3 × 11 × 23 × 6329
Abundant Even Composite

9,607,422 factors as 2 × 3 × 11 × 23 × 6329. Its 32 positive divisors give a proper-divisor sum of 12,269,058, so this integer is abundant. The Collatz stopping time is 375 steps.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 23 × 6329
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 21,876,480
Proper Divisor Sum 12,269,058
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9607417 ← → #9607441

Radix Representation

Decimal 9607422
Binary 100100101001100011111110 (24 bits)
Octal 0o44514376
Hexadecimal 0x9298FE

Divisor Catalog (32)

1 2 3 6 11 22 23 33 46 66 69 138 253 506 759 1,518 6,329 12,658 18,987 37,974 69,619 139,238 145,567 208,857 291,134 417,714 436,701 873,402 1,601,237 3,202,474 4,803,711 9,607,422

Collatz Trajectory (375 steps to reach 1)

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

9,607,422 4,803,711 14,411,134 7,205,567 21,616,702 10,808,351 32,425,054 16,212,527 48,637,582 24,318,791 72,956,374 36,478,187 109,434,562 54,717,281 164,151,844 82,075,922 41,037,961 123,113,884 61,556,942 30,778,471 92,335,414 46,167,707 138,503,122 69,251,561 207,754,684 103,877,342 51,938,671 155,816,014 77,908,007 233,724,022 116,862,011 350,586,034 175,293,017 525,879,052 262,939,526 131,469,763 394,409,290 197,204,645 591,613,936 295,806,968 147,903,484 73,951,742 36,975,871 110,927,614 55,463,807 166,391,422 83,195,711 249,587,134 124,793,567 374,380,702 187,190,351 561,571,054 280,785,527 842,356,582 421,178,291 1,263,534,874 631,767,437 1,895,302,312 947,651,156 473,825,578

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