λ
Integer Codex

4,516,567

112 × 163 × 229
Deficient Odd Composite

For 4,516,567, the 12 positive divisors have a total of 5,016,760. Removing 4,516,567 leaves 500,193, which gives the deficient classification.

Prime Factor Structure

Factorization String 11^2 × 163 × 229
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 5,016,760
Proper Divisor Sum 500,193
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #4516541 ← → #4516571

Radix Representation

Decimal 4516567
Binary 10001001110101011010111 (23 bits)
Octal 0o21165327
Hexadecimal 0x44EAD7

Divisor Catalog (12)

1 11 121 163 229 1,793 2,519 19,723 27,709 37,327 410,597 4,516,567

Collatz Trajectory (180 steps to reach 1)

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

4,516,567 13,549,702 6,774,851 20,324,554 10,162,277 30,486,832 15,243,416 7,621,708 3,810,854 1,905,427 5,716,282 2,858,141 8,574,424 4,287,212 2,143,606 1,071,803 3,215,410 1,607,705 4,823,116 2,411,558 1,205,779 3,617,338 1,808,669 5,426,008 2,713,004 1,356,502 678,251 2,034,754 1,017,377 3,052,132 1,526,066 763,033 2,289,100 1,144,550 572,275 1,716,826 858,413 2,575,240 1,287,620 643,810 321,905 965,716 482,858 241,429 724,288 362,144 181,072 90,536 45,268 22,634 11,317 33,952 16,976 8,488 4,244 2,122 1,061 3,184 1,592 796

More profiles

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