λ
Integer Codex

8,045,737

7 × 139 × 8269
Deficient Odd Composite

For 8,045,737, the 8 positive divisors have a total of 9,262,400. Removing 8,045,737 leaves 1,216,663, which gives the deficient classification.

Prime Factor Structure

Factorization String 7 × 139 × 8269
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,262,400
Proper Divisor Sum 1,216,663
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #8045729 ← → #8045747

Radix Representation

Decimal 8045737
Binary 11110101100010010101001 (23 bits)
Octal 0o36542251
Hexadecimal 0x7AC4A9

Divisor Catalog (8)

1 7 139 973 8,269 57,883 1,149,391 8,045,737

Collatz Trajectory (173 steps to reach 1)

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

8,045,737 24,137,212 12,068,606 6,034,303 18,102,910 9,051,455 27,154,366 13,577,183 40,731,550 20,365,775 61,097,326 30,548,663 91,645,990 45,822,995 137,468,986 68,734,493 206,203,480 103,101,740 51,550,870 25,775,435 77,326,306 38,663,153 115,989,460 57,994,730 28,997,365 86,992,096 43,496,048 21,748,024 10,874,012 5,437,006 2,718,503 8,155,510 4,077,755 12,233,266 6,116,633 18,349,900 9,174,950 4,587,475 13,762,426 6,881,213 20,643,640 10,321,820 5,160,910 2,580,455 7,741,366 3,870,683 11,612,050 5,806,025 17,418,076 8,709,038 4,354,519 13,063,558 6,531,779 19,595,338 9,797,669 29,393,008 14,696,504 7,348,252 3,674,126 1,837,063

More profiles

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