3,431,824

2⁴ × 11 × 17 × 31 × 37

3,431,824 factors as 2^4 × 11 × 17 × 31 × 37. Its 80 positive divisors give a proper-divisor sum of 4,710,512, so this integer is abundant. The Collatz stopping time is 102 steps.

Prime Factor Structure

Factorization String 2^4 × 11 × 17 × 31 × 37

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 8,142,336

Proper Divisor Sum 4,710,512

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #3431821 ← → #3431849

Radix Representation

Decimal	3431824
Binary	1101000101110110010000 (22 bits)
Octal	0o15056620
Hexadecimal	0x345D90

Divisor Catalog (60 of 80)

1 2 4 8 11 16 17 22 31 34 37 44 62 68 74 88 124 136 148 176 187 248 272 296 341 374 407 496 527 592 629 682 748 814 1,054 1,147 1,258 1,364 1,496 1,628 2,108 2,294 2,516 2,728 2,992 3,256 4,216 4,588 5,032 5,456 5,797 6,512 6,919 8,432 9,176 10,064 11,594 12,617 13,838 18,352

Collatz Trajectory (102 steps to reach 1)

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

3,431,824 1,715,912 857,956 428,978 214,489 643,468 321,734 160,867 482,602 241,301 723,904 361,952 180,976 90,488 45,244 22,622 11,311 33,934 16,967 50,902 25,451 76,354 38,177 114,532 57,266 28,633 85,900 42,950 21,475 64,426 32,213 96,640 48,320 24,160 12,080 6,040 3,020 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644

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