λ
Sigma Notebook

9,122,464

25 × 13 × 21929
Abundant Even Composite

9,122,464 is even and not a perfect square. Its factorization is 2^5 × 13 × 21929 and its 24 divisors sum to 19,342,260.

Prime Factor Structure

Factorization String 2^5 × 13 × 21929
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 19,342,260
Proper Divisor Sum 10,219,796
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #9122453 ← → #9122471

Radix Representation

Decimal 9122464
Binary 100010110011001010100000 (24 bits)
Octal 0o42631240
Hexadecimal 0x8B32A0

Divisor Catalog (24)

1 2 4 8 13 16 26 32 52 104 208 416 21,929 43,858 87,716 175,432 285,077 350,864 570,154 701,728 1,140,308 2,280,616 4,561,232 9,122,464

Collatz Trajectory (106 steps to reach 1)

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

9,122,464 4,561,232 2,280,616 1,140,308 570,154 285,077 855,232 427,616 213,808 106,904 53,452 26,726 13,363 40,090 20,045 60,136 30,068 15,034 7,517 22,552 11,276 5,638 2,819 8,458 4,229 12,688 6,344 3,172 1,586 793 2,380 1,190 595 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619

More profiles

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