λ
Ratio Atlas

21,731,419

21731419
Deficient Odd Prime

21,731,419 factors as 21731419. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 128 steps.

Prime Factor Structure

Factorization String 21731419
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 21,731,420
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #21731417 ← → #21731441

Radix Representation

Decimal 21731419
Binary 1010010111001100001011011 (25 bits)
Octal 0o122714133
Hexadecimal 0x14B985B

Divisor Catalog (2)

Collatz Trajectory (128 steps to reach 1)

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

21,731,419 65,194,258 32,597,129 97,791,388 48,895,694 24,447,847 73,343,542 36,671,771 110,015,314 55,007,657 165,022,972 82,511,486 41,255,743 123,767,230 61,883,615 185,650,846 92,825,423 278,476,270 139,238,135 417,714,406 208,857,203 626,571,610 313,285,805 939,857,416 469,928,708 234,964,354 117,482,177 352,446,532 176,223,266 88,111,633 264,334,900 132,167,450 66,083,725 198,251,176 99,125,588 49,562,794 24,781,397 74,344,192 37,172,096 18,586,048 9,293,024 4,646,512 2,323,256 1,161,628 580,814 290,407 871,222 435,611 1,306,834 653,417 1,960,252 980,126 490,063 1,470,190 735,095 2,205,286 1,102,643 3,307,930 1,653,965 4,961,896

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