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Atlas › Integer Profiles › Node 6,136,950

6,136,950

2 × 3 × 52 × 163 × 251
Abundant Even Composite

6,136,950 factors as 2 × 3 × 5^2 × 163 × 251. Its 48 positive divisors give a proper-divisor sum of 9,237,066, so this integer is abundant. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 163 × 251
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 15,374,016
Proper Divisor Sum 9,237,066
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6136939 ← → #6136967

Radix Representation

Decimal 6136950
Binary 10111011010010001110110 (23 bits)
Octal 0o27322166
Hexadecimal 0x5DA476

Divisor Catalog (48)

1 2 3 5 6 10 15 25 30 50 75 150 163 251 326 489 502 753 815 978 1,255 1,506 1,630 2,445 2,510 3,765 4,075 4,890 6,275 7,530 8,150 12,225 12,550 18,825 24,450 37,650 40,913 81,826 122,739 204,565 245,478 409,130 613,695 1,022,825 1,227,390 2,045,650 3,068,475 6,136,950

Collatz Trajectory (152 steps to reach 1)

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

6,136,950 3,068,475 9,205,426 4,602,713 13,808,140 6,904,070 3,452,035 10,356,106 5,178,053 15,534,160 7,767,080 3,883,540 1,941,770 970,885 2,912,656 1,456,328 728,164 364,082 182,041 546,124 273,062 136,531 409,594 204,797 614,392 307,196 153,598 76,799 230,398 115,199 345,598 172,799 518,398 259,199 777,598 388,799 1,166,398 583,199 1,749,598 874,799 2,624,398 1,312,199 3,936,598 1,968,299 5,904,898 2,952,449 8,857,348 4,428,674 2,214,337 6,643,012 3,321,506 1,660,753 4,982,260 2,491,130 1,245,565 3,736,696 1,868,348 934,174 467,087 1,401,262

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