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Atlas › Integer Profiles › Node 6,076,136

6,076,136

23 × 112 × 6277
Abundant Even Composite

6,076,136 factors as 2^3 × 11^2 × 6277. Its 24 positive divisors give a proper-divisor sum of 6,448,474, so this integer is abundant. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 2^3 × 11^2 × 6277
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,524,610
Proper Divisor Sum 6,448,474
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #6076121 ← → #6076139

Radix Representation

Decimal 6076136
Binary 10111001011011011101000 (23 bits)
Octal 0o27133350
Hexadecimal 0x5CB6E8

Divisor Catalog (24)

1 2 4 8 11 22 44 88 121 242 484 968 6,277 12,554 25,108 50,216 69,047 138,094 276,188 552,376 759,517 1,519,034 3,038,068 6,076,136

Collatz Trajectory (152 steps to reach 1)

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

6,076,136 3,038,068 1,519,034 759,517 2,278,552 1,139,276 569,638 284,819 854,458 427,229 1,281,688 640,844 320,422 160,211 480,634 240,317 720,952 360,476 180,238 90,119 270,358 135,179 405,538 202,769 608,308 304,154 152,077 456,232 228,116 114,058 57,029 171,088 85,544 42,772 21,386 10,693 32,080 16,040 8,020 4,010 2,005 6,016 3,008 1,504 752 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182

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