λ
Ratio Atlas

21,486,575

52 × 112 × 7103
Deficient Odd Composite

21,486,575 factors as 5^2 × 11^2 × 7103. Its 18 positive divisors give a proper-divisor sum of 7,803,217, so this integer is deficient. The Collatz stopping time is 402 steps.

Prime Factor Structure

Factorization String 5^2 × 11^2 × 7103
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 29,289,792
Proper Divisor Sum 7,803,217
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #21486559 ← → #21486581

Radix Representation

Decimal 21486575
Binary 1010001111101101111101111 (25 bits)
Octal 0o121755757
Hexadecimal 0x147DBEF

Divisor Catalog (18)

Collatz Trajectory (402 steps to reach 1)

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

21,486,575 64,459,726 32,229,863 96,689,590 48,344,795 145,034,386 72,517,193 217,551,580 108,775,790 54,387,895 163,163,686 81,581,843 244,745,530 122,372,765 367,118,296 183,559,148 91,779,574 45,889,787 137,669,362 68,834,681 206,504,044 103,252,022 51,626,011 154,878,034 77,439,017 232,317,052 116,158,526 58,079,263 174,237,790 87,118,895 261,356,686 130,678,343 392,035,030 196,017,515 588,052,546 294,026,273 882,078,820 441,039,410 220,519,705 661,559,116 330,779,558 165,389,779 496,169,338 248,084,669 744,254,008 372,127,004 186,063,502 93,031,751 279,095,254 139,547,627 418,642,882 209,321,441 627,964,324 313,982,162 156,991,081 470,973,244 235,486,622 117,743,311 353,229,934 176,614,967

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