λ
Integer Codex

9,727,913

13 × 748301
Deficient Odd Composite

For 9,727,913, the 4 positive divisors have a total of 10,476,228. Removing 9,727,913 leaves 748,315, which gives the deficient classification.

Prime Factor Structure

Factorization String 13 × 748301
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 10,476,228
Proper Divisor Sum 748,315
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #9727903 ← → #9727951

Radix Representation

Decimal 9727913
Binary 100101000110111110101001 (24 bits)
Octal 0o45067651
Hexadecimal 0x946FA9

Divisor Catalog (4)

1 13 748,301 9,727,913

Collatz Trajectory (181 steps to reach 1)

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

9,727,913 29,183,740 14,591,870 7,295,935 21,887,806 10,943,903 32,831,710 16,415,855 49,247,566 24,623,783 73,871,350 36,935,675 110,807,026 55,403,513 166,210,540 83,105,270 41,552,635 124,657,906 62,328,953 186,986,860 93,493,430 46,746,715 140,240,146 70,120,073 210,360,220 105,180,110 52,590,055 157,770,166 78,885,083 236,655,250 118,327,625 354,982,876 177,491,438 88,745,719 266,237,158 133,118,579 399,355,738 199,677,869 599,033,608 299,516,804 149,758,402 74,879,201 224,637,604 112,318,802 56,159,401 168,478,204 84,239,102 42,119,551 126,358,654 63,179,327 189,537,982 94,768,991 284,306,974 142,153,487 426,460,462 213,230,231 639,690,694 319,845,347 959,536,042 479,768,021

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