λ
Prime Ledger

9,498,420

22 × 32 × 5 × 52769
Abundant Even Composite

9,498,420 has the prime decomposition 2^2 × 3^2 × 5 × 52769. Its 4 distinct prime factors produce 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 52769
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 28,812,420
Proper Divisor Sum 19,314,000
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9498413 ← → #9498421

Radix Representation

Decimal 9498420
Binary 100100001110111100110100 (24 bits)
Octal 0o44167464
Hexadecimal 0x90EF34

Divisor Catalog (36)

1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 52,769 105,538 158,307 211,076 263,845 316,614 474,921 527,690 633,228 791,535 949,842 1,055,380 1,583,070 1,899,684 2,374,605 3,166,140 4,749,210 9,498,420

Collatz Trajectory (163 steps to reach 1)

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

9,498,420 4,749,210 2,374,605 7,123,816 3,561,908 1,780,954 890,477 2,671,432 1,335,716 667,858 333,929 1,001,788 500,894 250,447 751,342 375,671 1,127,014 563,507 1,690,522 845,261 2,535,784 1,267,892 633,946 316,973 950,920 475,460 237,730 118,865 356,596 178,298 89,149 267,448 133,724 66,862 33,431 100,294 50,147 150,442 75,221 225,664 112,832 56,416 28,208 14,104 7,052 3,526 1,763 5,290 2,645 7,936 3,968 1,984 992 496 248 124 62 31 94 47

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