λ
Ratio Atlas

18,724,775

52 × 31 × 37 × 653
Deficient Odd Composite

18,724,775 factors as 5^2 × 31 × 37 × 653. Its 24 positive divisors give a proper-divisor sum of 5,928,409, so this integer is deficient. The Collatz stopping time is 182 steps.

Prime Factor Structure

Factorization String 5^2 × 31 × 37 × 653
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 24,653,184
Proper Divisor Sum 5,928,409
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #18724733 ← → #18724777

Radix Representation

Decimal 18724775
Binary 1000111011011011110100111 (25 bits)
Octal 0o107333647
Hexadecimal 0x11DB7A7

Divisor Catalog (24)

Collatz Trajectory (182 steps to reach 1)

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

18,724,775 56,174,326 28,087,163 84,261,490 42,130,745 126,392,236 63,196,118 31,598,059 94,794,178 47,397,089 142,191,268 71,095,634 35,547,817 106,643,452 53,321,726 26,660,863 79,982,590 39,991,295 119,973,886 59,986,943 179,960,830 89,980,415 269,941,246 134,970,623 404,911,870 202,455,935 607,367,806 303,683,903 911,051,710 455,525,855 1,366,577,566 683,288,783 2,049,866,350 1,024,933,175 3,074,799,526 1,537,399,763 4,612,199,290 2,306,099,645 6,918,298,936 3,459,149,468 1,729,574,734 864,787,367 2,594,362,102 1,297,181,051 3,891,543,154 1,945,771,577 5,837,314,732 2,918,657,366 1,459,328,683 4,377,986,050 2,188,993,025 6,566,979,076 3,283,489,538 1,641,744,769 4,925,234,308 2,462,617,154 1,231,308,577 3,693,925,732 1,846,962,866 923,481,433

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