λ
Prime Ledger

9,721,437

3 × 11 × 97 × 3037
Deficient Odd Composite

9,721,437 has the prime decomposition 3 × 11 × 97 × 3037. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 11 × 97 × 3037
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 14,290,752
Proper Divisor Sum 4,569,315
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9721429 ← → #9721441

Radix Representation

Decimal 9721437
Binary 100101000101011001011101 (24 bits)
Octal 0o45053135
Hexadecimal 0x94565D

Divisor Catalog (16)

1 3 11 33 97 291 1,067 3,037 3,201 9,111 33,407 100,221 294,589 883,767 3,240,479 9,721,437

Collatz Trajectory (207 steps to reach 1)

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

9,721,437 29,164,312 14,582,156 7,291,078 3,645,539 10,936,618 5,468,309 16,404,928 8,202,464 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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