λ
Prime Ledger

9,465,204

22 × 3 × 7 × 281 × 401
Abundant Even Composite

9,465,204 has the prime decomposition 2^2 × 3 × 7 × 281 × 401. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 281 × 401
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 25,393,536
Proper Divisor Sum 15,928,332
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9465161 ← → #9465221

Radix Representation

Decimal 9465204
Binary 100100000110110101110100 (24 bits)
Octal 0o44066564
Hexadecimal 0x906D74

Divisor Catalog (48)

1 2 3 4 6 7 12 14 21 28 42 84 281 401 562 802 843 1,124 1,203 1,604 1,686 1,967 2,406 2,807 3,372 3,934 4,812 5,614 5,901 7,868 8,421 11,228 11,802 16,842 23,604 33,684 112,681 225,362 338,043 450,724 676,086 788,767 1,352,172 1,577,534 2,366,301 3,155,068 4,732,602 9,465,204

Collatz Trajectory (163 steps to reach 1)

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

9,465,204 4,732,602 2,366,301 7,098,904 3,549,452 1,774,726 887,363 2,662,090 1,331,045 3,993,136 1,996,568 998,284 499,142 249,571 748,714 374,357 1,123,072 561,536 280,768 140,384 70,192 35,096 17,548 8,774 4,387 13,162 6,581 19,744 9,872 4,936 2,468 1,234 617 1,852 926 463 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47

More profiles

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