21,398,832

2⁴ × 3² × 7 × 13 × 23 × 71

21,398,832 factors as 2^4 × 3^2 × 7 × 13 × 23 × 71. Its 240 positive divisors give a proper-divisor sum of 56,596,176, so this integer is abundant. The Collatz stopping time is 71 steps.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 7 × 13 × 23 × 71

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 240

Divisor Sum (σ) 77,995,008

Proper Divisor Sum 56,596,176

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #21398827 ← → #21398833

Radix Representation

Decimal	21398832
Binary	1010001101000010100110000 (25 bits)
Octal	0o121502460
Hexadecimal	0x1468530

Divisor Catalog (60 of 240)

1 2 3 4 6 7 8 9 12 13 14 16 18 21 23 24 26 28 36 39 42 46 48 52 56 63 69 71 72 78 84 91 92 104 112 117 126 138 142 144 156 161 168 182 184 207 208 213 234 252 273 276 284 299 312 322 336 364 368 414

Collatz Trajectory (71 steps to reach 1)

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

21,398,832 10,699,416 5,349,708 2,674,854 1,337,427 4,012,282 2,006,141 6,018,424 3,009,212 1,504,606 752,303 2,256,910 1,128,455 3,385,366 1,692,683 5,078,050 2,539,025 7,617,076 3,808,538 1,904,269 5,712,808 2,856,404 1,428,202 714,101 2,142,304 1,071,152 535,576 267,788 133,894 66,947 200,842 100,421 301,264 150,632 75,316 37,658 18,829 56,488 28,244 14,122 7,061 21,184 10,592 5,296 2,648 1,324 662 331 994 497 1,492 746 373 1,120 560 280 140 70 35 106

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