λ
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Atlas › Integer Profiles › Node 9,700,908

9,700,908

22 × 3 × 7 × 53 × 2179
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 53 × 2179
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 26,369,280
Proper Divisor Sum 16,668,372
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9700907 ← → #9700913

Radix Representation

Decimal 9700908
Binary 100101000000011000101100 (24 bits)
Octal 0o45003054
Hexadecimal 0x94062C

Divisor Catalog (48)

1 2 3 4 6 7 12 14 21 28 42 53 84 106 159 212 318 371 636 742 1,113 1,484 2,179 2,226 4,358 4,452 6,537 8,716 13,074 15,253 26,148 30,506 45,759 61,012 91,518 115,487 183,036 230,974 346,461 461,948 692,922 808,409 1,385,844 1,616,818 2,425,227 3,233,636 4,850,454 9,700,908

Collatz Trajectory (251 steps to reach 1)

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

9,700,908 4,850,454 2,425,227 7,275,682 3,637,841 10,913,524 5,456,762 2,728,381 8,185,144 4,092,572 2,046,286 1,023,143 3,069,430 1,534,715 4,604,146 2,302,073 6,906,220 3,453,110 1,726,555 5,179,666 2,589,833 7,769,500 3,884,750 1,942,375 5,827,126 2,913,563 8,740,690 4,370,345 13,111,036 6,555,518 3,277,759 9,833,278 4,916,639 14,749,918 7,374,959 22,124,878 11,062,439 33,187,318 16,593,659 49,780,978 24,890,489 74,671,468 37,335,734 18,667,867 56,003,602 28,001,801 84,005,404 42,002,702 21,001,351 63,004,054 31,502,027 94,506,082 47,253,041 141,759,124 70,879,562 35,439,781 106,319,344 53,159,672 26,579,836 13,289,918

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