4,136,832

2⁷ × 3⁵ × 7 × 19

4,136,832 factors as 2^7 × 3^5 × 7 × 19. Its 192 positive divisors give a proper-divisor sum of 10,714,368, so this integer is abundant. The Collatz stopping time is 198 steps.

Prime Factor Structure

Factorization String 2^7 × 3^5 × 7 × 19

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 14,851,200

Proper Divisor Sum 10,714,368

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4136819 ← → #4136833

Radix Representation

Decimal	4136832
Binary	1111110001111110000000 (22 bits)
Octal	0o17617600
Hexadecimal	0x3F1F80

Divisor Catalog (60 of 192)

1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 32 36 38 42 48 54 56 57 63 64 72 76 81 84 96 108 112 114 126 128 133 144 152 162 168 171 189 192 216 224 228 243 252 266 288 304 324 336 342 378 384 399 432

Collatz Trajectory (198 steps to reach 1)

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

4,136,832 2,068,416 1,034,208 517,104 258,552 129,276 64,638 32,319 96,958 48,479 145,438 72,719 218,158 109,079 327,238 163,619 490,858 245,429 736,288 368,144 184,072 92,036 46,018 23,009 69,028 34,514 17,257 51,772 25,886 12,943 38,830 19,415 58,246 29,123 87,370 43,685 131,056 65,528 32,764 16,382 8,191 24,574 12,287 36,862 18,431 55,294 27,647 82,942 41,471 124,414 62,207 186,622 93,311 279,934 139,967 419,902 209,951 629,854 314,927 944,782

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