λ
Integer Codex

9,745,255

5 × 13 × 313 × 479
Deficient Odd Composite

For 9,745,255, the 16 positive divisors have a total of 12,660,480. Removing 9,745,255 leaves 2,915,225, which gives the deficient classification.

Prime Factor Structure

Factorization String 5 × 13 × 313 × 479
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,660,480
Proper Divisor Sum 2,915,225
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #9745237 ← → #9745273

Radix Representation

Decimal 9745255
Binary 100101001011001101100111 (24 bits)
Octal 0o45131547
Hexadecimal 0x94B367

Divisor Catalog (16)

1 5 13 65 313 479 1,565 2,395 4,069 6,227 20,345 31,135 149,927 749,635 1,949,051 9,745,255

Collatz Trajectory (145 steps to reach 1)

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

9,745,255 29,235,766 14,617,883 43,853,650 21,926,825 65,780,476 32,890,238 16,445,119 49,335,358 24,667,679 74,003,038 37,001,519 111,004,558 55,502,279 166,506,838 83,253,419 249,760,258 124,880,129 374,640,388 187,320,194 93,660,097 280,980,292 140,490,146 70,245,073 210,735,220 105,367,610 52,683,805 158,051,416 79,025,708 39,512,854 19,756,427 59,269,282 29,634,641 88,903,924 44,451,962 22,225,981 66,677,944 33,338,972 16,669,486 8,334,743 25,004,230 12,502,115 37,506,346 18,753,173 56,259,520 28,129,760 14,064,880 7,032,440 3,516,220 1,758,110 879,055 2,637,166 1,318,583 3,955,750 1,977,875 5,933,626 2,966,813 8,900,440 4,450,220 2,225,110

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