λ
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Atlas › Integer Profiles › Node 6,139,815

6,139,815

3 × 5 × 11 × 127 × 293
Deficient Odd Composite

6,139,815 factors as 3 × 5 × 11 × 127 × 293. Its 32 positive divisors give a proper-divisor sum of 4,698,201, so this integer is deficient. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 3 × 5 × 11 × 127 × 293
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,838,016
Proper Divisor Sum 4,698,201
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6139807 ← → #6139849

Radix Representation

Decimal 6139815
Binary 10111011010111110100111 (23 bits)
Octal 0o27327647
Hexadecimal 0x5DAFA7

Divisor Catalog (32)

1 3 5 11 15 33 55 127 165 293 381 635 879 1,397 1,465 1,905 3,223 4,191 4,395 6,985 9,669 16,115 20,955 37,211 48,345 111,633 186,055 409,321 558,165 1,227,963 2,046,605 6,139,815

Collatz Trajectory (165 steps to reach 1)

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

6,139,815 18,419,446 9,209,723 27,629,170 13,814,585 41,443,756 20,721,878 10,360,939 31,082,818 15,541,409 46,624,228 23,312,114 11,656,057 34,968,172 17,484,086 8,742,043 26,226,130 13,113,065 39,339,196 19,669,598 9,834,799 29,504,398 14,752,199 44,256,598 22,128,299 66,384,898 33,192,449 99,577,348 49,788,674 24,894,337 74,683,012 37,341,506 18,670,753 56,012,260 28,006,130 14,003,065 42,009,196 21,004,598 10,502,299 31,506,898 15,753,449 47,260,348 23,630,174 11,815,087 35,445,262 17,722,631 53,167,894 26,583,947 79,751,842 39,875,921 119,627,764 59,813,882 29,906,941 89,720,824 44,860,412 22,430,206 11,215,103 33,645,310 16,822,655 50,467,966

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