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Atlas › Integer Profiles › Node 9,869,370

9,869,370

2 × 3 × 5 × 7 × 46997
Abundant Even Composite

9,869,370 factors as 2 × 3 × 5 × 7 × 46997. Its 32 positive divisors give a proper-divisor sum of 17,201,478, so this integer is abundant. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 7 × 46997
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 27,070,848
Proper Divisor Sum 17,201,478
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #9869347 ← → #9869393

Radix Representation

Decimal 9869370
Binary 100101101001100000111010 (24 bits)
Octal 0o45514072
Hexadecimal 0x96983A

Divisor Catalog (32)

1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 46,997 93,994 140,991 234,985 281,982 328,979 469,970 657,958 704,955 986,937 1,409,910 1,644,895 1,973,874 3,289,790 4,934,685 9,869,370

Collatz Trajectory (145 steps to reach 1)

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

9,869,370 4,934,685 14,804,056 7,402,028 3,701,014 1,850,507 5,551,522 2,775,761 8,327,284 4,163,642 2,081,821 6,245,464 3,122,732 1,561,366 780,683 2,342,050 1,171,025 3,513,076 1,756,538 878,269 2,634,808 1,317,404 658,702 329,351 988,054 494,027 1,482,082 741,041 2,223,124 1,111,562 555,781 1,667,344 833,672 416,836 208,418 104,209 312,628 156,314 78,157 234,472 117,236 58,618 29,309 87,928 43,964 21,982 10,991 32,974 16,487 49,462 24,731 74,194 37,097 111,292 55,646 27,823 83,470 41,735 125,206 62,603

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