λ
Sigma Notebook

9,928,375

53 × 79427
Deficient Odd Composite

9,928,375 is odd and not a perfect square. Its factorization is 5^3 × 79427 and its 8 divisors sum to 12,390,768.

Prime Factor Structure

Factorization String 5^3 × 79427
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,390,768
Proper Divisor Sum 2,462,393
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #9928367 ← → #9928379

Radix Representation

Decimal 9928375
Binary 100101110111111010110111 (24 bits)
Octal 0o45677267
Hexadecimal 0x977EB7

Divisor Catalog (8)

1 5 25 125 79,427 397,135 1,985,675 9,928,375

Collatz Trajectory (145 steps to reach 1)

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

9,928,375 29,785,126 14,892,563 44,677,690 22,338,845 67,016,536 33,508,268 16,754,134 8,377,067 25,131,202 12,565,601 37,696,804 18,848,402 9,424,201 28,272,604 14,136,302 7,068,151 21,204,454 10,602,227 31,806,682 15,903,341 47,710,024 23,855,012 11,927,506 5,963,753 17,891,260 8,945,630 4,472,815 13,418,446 6,709,223 20,127,670 10,063,835 30,191,506 15,095,753 45,287,260 22,643,630 11,321,815 33,965,446 16,982,723 50,948,170 25,474,085 76,422,256 38,211,128 19,105,564 9,552,782 4,776,391 14,329,174 7,164,587 21,493,762 10,746,881 32,240,644 16,120,322 8,060,161 24,180,484 12,090,242 6,045,121 18,135,364 9,067,682 4,533,841 13,601,524

More profiles

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