λ
Integer Codex

7,815,071

11 × 359 × 1979
Deficient Odd Composite

For 7,815,071, the 8 positive divisors have a total of 8,553,600. Removing 7,815,071 leaves 738,529, which gives the deficient classification.

Prime Factor Structure

Factorization String 11 × 359 × 1979
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,553,600
Proper Divisor Sum 738,529
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #7815047 ← → #7815091

Radix Representation

Decimal 7815071
Binary 11101110011111110011111 (23 bits)
Octal 0o35637637
Hexadecimal 0x773F9F

Divisor Catalog (8)

1 11 359 1,979 3,949 21,769 710,461 7,815,071

Collatz Trajectory (124 steps to reach 1)

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

7,815,071 23,445,214 11,722,607 35,167,822 17,583,911 52,751,734 26,375,867 79,127,602 39,563,801 118,691,404 59,345,702 29,672,851 89,018,554 44,509,277 133,527,832 66,763,916 33,381,958 16,690,979 50,072,938 25,036,469 75,109,408 37,554,704 18,777,352 9,388,676 4,694,338 2,347,169 7,041,508 3,520,754 1,760,377 5,281,132 2,640,566 1,320,283 3,960,850 1,980,425 5,941,276 2,970,638 1,485,319 4,455,958 2,227,979 6,683,938 3,341,969 10,025,908 5,012,954 2,506,477 7,519,432 3,759,716 1,879,858 939,929 2,819,788 1,409,894 704,947 2,114,842 1,057,421 3,172,264 1,586,132 793,066 396,533 1,189,600 594,800 297,400

More profiles

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