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Atlas › Integer Profiles › Node 21,397,215

21,397,215

3 × 5 × 7 × 29 × 7027
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7 × 29 × 7027
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 40,481,280
Proper Divisor Sum 19,084,065
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #21397171 ← → #21397217

Radix Representation

Decimal 21397215
Binary 1010001100111111011011111 (25 bits)
Octal 0o121477337
Hexadecimal 0x1467EDF

Divisor Catalog (32)

1 3 5 7 15 21 29 35 87 105 145 203 435 609 1,015 3,045 7,027 21,081 35,135 49,189 105,405 147,567 203,783 245,945 611,349 737,835 1,018,915 1,426,481 3,056,745 4,279,443 7,132,405 21,397,215

Collatz Trajectory (159 steps to reach 1)

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

21,397,215 64,191,646 32,095,823 96,287,470 48,143,735 144,431,206 72,215,603 216,646,810 108,323,405 324,970,216 162,485,108 81,242,554 40,621,277 121,863,832 60,931,916 30,465,958 15,232,979 45,698,938 22,849,469 68,548,408 34,274,204 17,137,102 8,568,551 25,705,654 12,852,827 38,558,482 19,279,241 57,837,724 28,918,862 14,459,431 43,378,294 21,689,147 65,067,442 32,533,721 97,601,164 48,800,582 24,400,291 73,200,874 36,600,437 109,801,312 54,900,656 27,450,328 13,725,164 6,862,582 3,431,291 10,293,874 5,146,937 15,440,812 7,720,406 3,860,203 11,580,610 5,790,305 17,370,916 8,685,458 4,342,729 13,028,188 6,514,094 3,257,047 9,771,142 4,885,571

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