λ
Sigma Notebook

9,475,972

22 × 11 × 283 × 761
Deficient Even Composite

9,475,972 is even and not a perfect square. Its factorization is 2^2 × 11 × 283 × 761 and its 24 divisors sum to 18,178,272.

Prime Factor Structure

Factorization String 2^2 × 11 × 283 × 761
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 18,178,272
Proper Divisor Sum 8,702,300
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #9475957 ← → #9475979

Radix Representation

Decimal 9475972
Binary 100100001001011110000100 (24 bits)
Octal 0o44113604
Hexadecimal 0x909784

Divisor Catalog (24)

1 2 4 11 22 44 283 566 761 1,132 1,522 3,044 3,113 6,226 8,371 12,452 16,742 33,484 215,363 430,726 861,452 2,368,993 4,737,986 9,475,972

Collatz Trajectory (269 steps to reach 1)

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

9,475,972 4,737,986 2,368,993 7,106,980 3,553,490 1,776,745 5,330,236 2,665,118 1,332,559 3,997,678 1,998,839 5,996,518 2,998,259 8,994,778 4,497,389 13,492,168 6,746,084 3,373,042 1,686,521 5,059,564 2,529,782 1,264,891 3,794,674 1,897,337 5,692,012 2,846,006 1,423,003 4,269,010 2,134,505 6,403,516 3,201,758 1,600,879 4,802,638 2,401,319 7,203,958 3,601,979 10,805,938 5,402,969 16,208,908 8,104,454 4,052,227 12,156,682 6,078,341 18,235,024 9,117,512 4,558,756 2,279,378 1,139,689 3,419,068 1,709,534 854,767 2,564,302 1,282,151 3,846,454 1,923,227 5,769,682 2,884,841 8,654,524 4,327,262 2,163,631

More profiles

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