λ
Integer Codex

4,762,511

13 × 366347
Deficient Odd Composite

For 4,762,511, the 4 positive divisors have a total of 5,128,872. Removing 4,762,511 leaves 366,361, which gives the deficient classification.

Prime Factor Structure

Factorization String 13 × 366347
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,128,872
Proper Divisor Sum 366,361
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #4762507 ← → #4762523

Radix Representation

Decimal 4762511
Binary 10010001010101110001111 (23 bits)
Octal 0o22125617
Hexadecimal 0x48AB8F

Divisor Catalog (4)

1 13 366,347 4,762,511

Collatz Trajectory (268 steps to reach 1)

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

4,762,511 14,287,534 7,143,767 21,431,302 10,715,651 32,146,954 16,073,477 48,220,432 24,110,216 12,055,108 6,027,554 3,013,777 9,041,332 4,520,666 2,260,333 6,781,000 3,390,500 1,695,250 847,625 2,542,876 1,271,438 635,719 1,907,158 953,579 2,860,738 1,430,369 4,291,108 2,145,554 1,072,777 3,218,332 1,609,166 804,583 2,413,750 1,206,875 3,620,626 1,810,313 5,430,940 2,715,470 1,357,735 4,073,206 2,036,603 6,109,810 3,054,905 9,164,716 4,582,358 2,291,179 6,873,538 3,436,769 10,310,308 5,155,154 2,577,577 7,732,732 3,866,366 1,933,183 5,799,550 2,899,775 8,699,326 4,349,663 13,048,990 6,524,495

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