λ
Prime Ledger

9,129,828

22 × 3 × 593 × 1283
Abundant Even Composite

9,129,828 has the prime decomposition 2^2 × 3 × 593 × 1283. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 593 × 1283
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 21,355,488
Proper Divisor Sum 12,225,660
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9129811 ← → #9129847

Radix Representation

Decimal 9129828
Binary 100010110100111101100100 (24 bits)
Octal 0o42647544
Hexadecimal 0x8B4F64

Divisor Catalog (24)

1 2 3 4 6 12 593 1,186 1,283 1,779 2,372 2,566 3,558 3,849 5,132 7,116 7,698 15,396 760,819 1,521,638 2,282,457 3,043,276 4,564,914 9,129,828

Collatz Trajectory (62 steps to reach 1)

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

9,129,828 4,564,914 2,282,457 6,847,372 3,423,686 1,711,843 5,135,530 2,567,765 7,703,296 3,851,648 1,925,824 962,912 481,456 240,728 120,364 60,182 30,091 90,274 45,137 135,412 67,706 33,853 101,560 50,780 25,390 12,695 38,086 19,043 57,130 28,565 85,696 42,848 21,424 10,712 5,356 2,678 1,339 4,018 2,009 6,028 3,014 1,507 4,522 2,261 6,784 3,392 1,696 848 424 212 106 53 160 80 40 20 10 5 16 8

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