λ
Integer Codex

4,509,323

72 × 13 × 7079
Deficient Odd Composite

For 4,509,323, the 12 positive divisors have a total of 5,649,840. Removing 4,509,323 leaves 1,140,517, which gives the deficient classification.

Prime Factor Structure

Factorization String 7^2 × 13 × 7079
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 5,649,840
Proper Divisor Sum 1,140,517
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #4509317 ← → #4509341

Radix Representation

Decimal 4509323
Binary 10001001100111010001011 (23 bits)
Octal 0o21147213
Hexadecimal 0x44CE8B

Divisor Catalog (12)

1 7 13 49 91 637 7,079 49,553 92,027 346,871 644,189 4,509,323

Collatz Trajectory (162 steps to reach 1)

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

4,509,323 13,527,970 6,763,985 20,291,956 10,145,978 5,072,989 15,218,968 7,609,484 3,804,742 1,902,371 5,707,114 2,853,557 8,560,672 4,280,336 2,140,168 1,070,084 535,042 267,521 802,564 401,282 200,641 601,924 300,962 150,481 451,444 225,722 112,861 338,584 169,292 84,646 42,323 126,970 63,485 190,456 95,228 47,614 23,807 71,422 35,711 107,134 53,567 160,702 80,351 241,054 120,527 361,582 180,791 542,374 271,187 813,562 406,781 1,220,344 610,172 305,086 152,543 457,630 228,815 686,446 343,223 1,029,670

More profiles

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