λ
Integer Codex

9,721,434

2 × 3 × 1620239
Abundant Even Composite

For 9,721,434, the 8 positive divisors have a total of 19,442,880. Removing 9,721,434 leaves 9,721,446, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 1620239
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 19,442,880
Proper Divisor Sum 9,721,446
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9721429 ← → #9721441

Radix Representation

Decimal 9721434
Binary 100101000101011001011010 (24 bits)
Octal 0o45053132
Hexadecimal 0x94565A

Divisor Catalog (8)

1 2 3 6 1,620,239 3,240,478 4,860,717 9,721,434

Collatz Trajectory (207 steps to reach 1)

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

9,721,434 4,860,717 14,582,152 7,291,076 3,645,538 1,822,769 5,468,308 2,734,154 1,367,077 4,101,232 2,050,616 1,025,308 512,654 256,327 768,982 384,491 1,153,474 576,737 1,730,212 865,106 432,553 1,297,660 648,830 324,415 973,246 486,623 1,459,870 729,935 2,189,806 1,094,903 3,284,710 1,642,355 4,927,066 2,463,533 7,390,600 3,695,300 1,847,650 923,825 2,771,476 1,385,738 692,869 2,078,608 1,039,304 519,652 259,826 129,913 389,740 194,870 97,435 292,306 146,153 438,460 219,230 109,615 328,846 164,423 493,270 246,635 739,906 369,953

More profiles

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