λ
Ratio Atlas
Atlas › Integer Profiles › Node 21,457,430

21,457,430

2 × 5 × 43 × 139 × 359
Deficient Even Composite

21,457,430 factors as 2 × 5 × 43 × 139 × 359. Its 32 positive divisors give a proper-divisor sum of 18,459,370, so this integer is deficient. The Collatz stopping time is 234 steps.

Prime Factor Structure

Factorization String 2 × 5 × 43 × 139 × 359
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 39,916,800
Proper Divisor Sum 18,459,370
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #21457411 ← → #21457433

Radix Representation

Decimal 21457430
Binary 1010001110110101000010110 (25 bits)
Octal 0o121665026
Hexadecimal 0x1476A16

Divisor Catalog (32)

1 2 5 10 43 86 139 215 278 359 430 695 718 1,390 1,795 3,590 5,977 11,954 15,437 29,885 30,874 49,901 59,770 77,185 99,802 154,370 249,505 499,010 2,145,743 4,291,486 10,728,715 21,457,430

Collatz Trajectory (234 steps to reach 1)

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

21,457,430 10,728,715 32,186,146 16,093,073 48,279,220 24,139,610 12,069,805 36,209,416 18,104,708 9,052,354 4,526,177 13,578,532 6,789,266 3,394,633 10,183,900 5,091,950 2,545,975 7,637,926 3,818,963 11,456,890 5,728,445 17,185,336 8,592,668 4,296,334 2,148,167 6,444,502 3,222,251 9,666,754 4,833,377 14,500,132 7,250,066 3,625,033 10,875,100 5,437,550 2,718,775 8,156,326 4,078,163 12,234,490 6,117,245 18,351,736 9,175,868 4,587,934 2,293,967 6,881,902 3,440,951 10,322,854 5,161,427 15,484,282 7,742,141 23,226,424 11,613,212 5,806,606 2,903,303 8,709,910 4,354,955 13,064,866 6,532,433 19,597,300 9,798,650 4,899,325

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