λ
Integer Codex

2,264,515

5 × 112 × 19 × 197
Deficient Odd Composite

For 2,264,515, the 24 positive divisors have a total of 3,160,080. Removing 2,264,515 leaves 895,565, which gives the deficient classification.

Prime Factor Structure

Factorization String 5 × 11^2 × 19 × 197
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,160,080
Proper Divisor Sum 895,565
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2264513 ← → #2264539

Radix Representation

Decimal 2264515
Binary 1000101000110111000011 (22 bits)
Octal 0o10506703
Hexadecimal 0x228DC3

Divisor Catalog (24)

1 5 11 19 55 95 121 197 209 605 985 1,045 2,167 2,299 3,743 10,835 11,495 18,715 23,837 41,173 119,185 205,865 452,903 2,264,515

Collatz Trajectory (130 steps to reach 1)

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

2,264,515 6,793,546 3,396,773 10,190,320 5,095,160 2,547,580 1,273,790 636,895 1,910,686 955,343 2,866,030 1,433,015 4,299,046 2,149,523 6,448,570 3,224,285 9,672,856 4,836,428 2,418,214 1,209,107 3,627,322 1,813,661 5,440,984 2,720,492 1,360,246 680,123 2,040,370 1,020,185 3,060,556 1,530,278 765,139 2,295,418 1,147,709 3,443,128 1,721,564 860,782 430,391 1,291,174 645,587 1,936,762 968,381 2,905,144 1,452,572 726,286 363,143 1,089,430 544,715 1,634,146 817,073 2,451,220 1,225,610 612,805 1,838,416 919,208 459,604 229,802 114,901 344,704 172,352 86,176

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