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Atlas › Integer Profiles › Node 1,287,136

1,287,136

25 × 19 × 29 × 73
Abundant Even Composite

1,287,136 factors as 2^5 × 19 × 29 × 73. Its 48 positive divisors give a proper-divisor sum of 1,510,064, so this integer is abundant. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2^5 × 19 × 29 × 73
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 2,797,200
Proper Divisor Sum 1,510,064
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #1287133 ← → #1287157

Radix Representation

Decimal 1287136
Binary 100111010001111100000 (21 bits)
Octal 0o4721740
Hexadecimal 0x13A3E0

Divisor Catalog (48)

1 2 4 8 16 19 29 32 38 58 73 76 116 146 152 232 292 304 464 551 584 608 928 1,102 1,168 1,387 2,117 2,204 2,336 2,774 4,234 4,408 5,548 8,468 8,816 11,096 16,936 17,632 22,192 33,872 40,223 44,384 67,744 80,446 160,892 321,784 643,568 1,287,136

Collatz Trajectory (98 steps to reach 1)

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

1,287,136 643,568 321,784 160,892 80,446 40,223 120,670 60,335 181,006 90,503 271,510 135,755 407,266 203,633 610,900 305,450 152,725 458,176 229,088 114,544 57,272 28,636 14,318 7,159 21,478 10,739 32,218 16,109 48,328 24,164 12,082 6,041 18,124 9,062 4,531 13,594 6,797 20,392 10,196 5,098 2,549 7,648 3,824 1,912 956 478 239 718 359 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367

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