λ
Harmonic Matrix

9,057,872

24 × 17 × 33301
Abundant Even Composite

9,057,872 has digital root 2. The neighboring primes are 9057869 and 9057899; its proper-divisor sum differs from the starting integer by 466,772.

Prime Factor Structure

Factorization String 2^4 × 17 × 33301
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 18,582,516
Proper Divisor Sum 9,524,644
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #9057869 ← → #9057899

Radix Representation

Decimal 9057872
Binary 100010100011011001010000 (24 bits)
Octal 0o42433120
Hexadecimal 0x8A3650

Divisor Catalog (20)

1 2 4 8 16 17 34 68 136 272 33,301 66,602 133,204 266,408 532,816 566,117 1,132,234 2,264,468 4,528,936 9,057,872

Collatz Trajectory (88 steps to reach 1)

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

9,057,872 4,528,936 2,264,468 1,132,234 566,117 1,698,352 849,176 424,588 212,294 106,147 318,442 159,221 477,664 238,832 119,416 59,708 29,854 14,927 44,782 22,391 67,174 33,587 100,762 50,381 151,144 75,572 37,786 18,893 56,680 28,340 14,170 7,085 21,256 10,628 5,314 2,657 7,972 3,986 1,993 5,980 2,990 1,495 4,486 2,243 6,730 3,365 10,096 5,048 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600

More profiles

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