λ
Prime Ledger

9,960,402

2 × 3 × 17 × 97651
Abundant Even Composite

9,960,402 has the prime decomposition 2 × 3 × 17 × 97651. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 17 × 97651
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 21,092,832
Proper Divisor Sum 11,132,430
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9960383 ← → #9960407

Radix Representation

Decimal 9960402
Binary 100101111111101111010010 (24 bits)
Octal 0o45775722
Hexadecimal 0x97FBD2

Divisor Catalog (16)

1 2 3 6 17 34 51 102 97,651 195,302 292,953 585,906 1,660,067 3,320,134 4,980,201 9,960,402

Collatz Trajectory (137 steps to reach 1)

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

9,960,402 4,980,201 14,940,604 7,470,302 3,735,151 11,205,454 5,602,727 16,808,182 8,404,091 25,212,274 12,606,137 37,818,412 18,909,206 9,454,603 28,363,810 14,181,905 42,545,716 21,272,858 10,636,429 31,909,288 15,954,644 7,977,322 3,988,661 11,965,984 5,982,992 2,991,496 1,495,748 747,874 373,937 1,121,812 560,906 280,453 841,360 420,680 210,340 105,170 52,585 157,756 78,878 39,439 118,318 59,159 177,478 88,739 266,218 133,109 399,328 199,664 99,832 49,916 24,958 12,479 37,438 18,719 56,158 28,079 84,238 42,119 126,358 63,179

More profiles

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