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Atlas › Integer Profiles › Node 2,432,836

2,432,836

22 × 7 × 17 × 19 × 269
Abundant Even Composite

2,432,836 factors as 2^2 × 7 × 17 × 19 × 269. Its 48 positive divisors give a proper-divisor sum of 3,010,364, so this integer is abundant. The Collatz stopping time is 161 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 17 × 19 × 269
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 5,443,200
Proper Divisor Sum 3,010,364
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2432809 ← → #2432851

Radix Representation

Decimal 2432836
Binary 1001010001111101000100 (22 bits)
Octal 0o11217504
Hexadecimal 0x251F44

Divisor Catalog (48)

1 2 4 7 14 17 19 28 34 38 68 76 119 133 238 266 269 323 476 532 538 646 1,076 1,292 1,883 2,261 3,766 4,522 4,573 5,111 7,532 9,044 9,146 10,222 18,292 20,444 32,011 35,777 64,022 71,554 86,887 128,044 143,108 173,774 347,548 608,209 1,216,418 2,432,836

Collatz Trajectory (161 steps to reach 1)

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

2,432,836 1,216,418 608,209 1,824,628 912,314 456,157 1,368,472 684,236 342,118 171,059 513,178 256,589 769,768 384,884 192,442 96,221 288,664 144,332 72,166 36,083 108,250 54,125 162,376 81,188 40,594 20,297 60,892 30,446 15,223 45,670 22,835 68,506 34,253 102,760 51,380 25,690 12,845 38,536 19,268 9,634 4,817 14,452 7,226 3,613 10,840 5,420 2,710 1,355 4,066 2,033 6,100 3,050 1,525 4,576 2,288 1,144 572 286 143 430

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