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Atlas › Integer Profiles › Node 6,036,632

6,036,632

23 × 7 × 172 × 373
Abundant Even Composite

6,036,632 factors as 2^3 × 7 × 17^2 × 373. Its 48 positive divisors give a proper-divisor sum of 7,741,528, so this integer is abundant. The Collatz stopping time is 183 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 17^2 × 373
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 13,778,160
Proper Divisor Sum 7,741,528
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #6036617 ← → #6036637

Radix Representation

Decimal 6036632
Binary 10111000001110010011000 (23 bits)
Octal 0o27016230
Hexadecimal 0x5C1C98

Divisor Catalog (48)

1 2 4 7 8 14 17 28 34 56 68 119 136 238 289 373 476 578 746 952 1,156 1,492 2,023 2,312 2,611 2,984 4,046 5,222 6,341 8,092 10,444 12,682 16,184 20,888 25,364 44,387 50,728 88,774 107,797 177,548 215,594 355,096 431,188 754,579 862,376 1,509,158 3,018,316 6,036,632

Collatz Trajectory (183 steps to reach 1)

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

6,036,632 3,018,316 1,509,158 754,579 2,263,738 1,131,869 3,395,608 1,697,804 848,902 424,451 1,273,354 636,677 1,910,032 955,016 477,508 238,754 119,377 358,132 179,066 89,533 268,600 134,300 67,150 33,575 100,726 50,363 151,090 75,545 226,636 113,318 56,659 169,978 84,989 254,968 127,484 63,742 31,871 95,614 47,807 143,422 71,711 215,134 107,567 322,702 161,351 484,054 242,027 726,082 363,041 1,089,124 544,562 272,281 816,844 408,422 204,211 612,634 306,317 918,952 459,476 229,738

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