λ
Sigma Notebook

9,925,925

52 × 397037
Deficient Odd Composite

9,925,925 is odd and not a perfect square. Its factorization is 5^2 × 397037 and its 6 divisors sum to 12,308,178.

Prime Factor Structure

Factorization String 5^2 × 397037
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 12,308,178
Proper Divisor Sum 2,382,253
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #9925919 ← → #9925931

Radix Representation

Decimal 9925925
Binary 100101110111010100100101 (24 bits)
Octal 0o45672445
Hexadecimal 0x977525

Divisor Catalog (6)

1 5 25 397,037 1,985,185 9,925,925

Collatz Trajectory (88 steps to reach 1)

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

9,925,925 29,777,776 14,888,888 7,444,444 3,722,222 1,861,111 5,583,334 2,791,667 8,375,002 4,187,501 12,562,504 6,281,252 3,140,626 1,570,313 4,710,940 2,355,470 1,177,735 3,533,206 1,766,603 5,299,810 2,649,905 7,949,716 3,974,858 1,987,429 5,962,288 2,981,144 1,490,572 745,286 372,643 1,117,930 558,965 1,676,896 838,448 419,224 209,612 104,806 52,403 157,210 78,605 235,816 117,908 58,954 29,477 88,432 44,216 22,108 11,054 5,527 16,582 8,291 24,874 12,437 37,312 18,656 9,328 4,664 2,332 1,166 583 1,750

More profiles

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