9,907,473

3 × 29 × 263 × 433

9,907,473 is odd and not a perfect square. Its factorization is 3 × 29 × 263 × 433 and its 16 divisors sum to 13,749,120.

Prime Factor Structure

Factorization String 3 × 29 × 263 × 433

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,749,120

Proper Divisor Sum 3,841,647

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #9907433 ← → #9907477

Radix Representation

Decimal	9907473
Binary	100101110010110100010001 (24 bits)
Octal	0o45626421
Hexadecimal	0x972D11

Divisor Catalog (16)

1 3 29 87 263 433 789 1,299 7,627 12,557 22,881 37,671 113,879 341,637 3,302,491 9,907,473

Collatz Trajectory (238 steps to reach 1)

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

9,907,473 29,722,420 14,861,210 7,430,605 22,291,816 11,145,908 5,572,954 2,786,477 8,359,432 4,179,716 2,089,858 1,044,929 3,134,788 1,567,394 783,697 2,351,092 1,175,546 587,773 1,763,320 881,660 440,830 220,415 661,246 330,623 991,870 495,935 1,487,806 743,903 2,231,710 1,115,855 3,347,566 1,673,783 5,021,350 2,510,675 7,532,026 3,766,013 11,298,040 5,649,020 2,824,510 1,412,255 4,236,766 2,118,383 6,355,150 3,177,575 9,532,726 4,766,363 14,299,090 7,149,545 21,448,636 10,724,318 5,362,159 16,086,478 8,043,239 24,129,718 12,064,859 36,194,578 18,097,289 54,291,868 27,145,934 13,572,967

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