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Atlas › Integer Profiles › Node 6,079,982

6,079,982

2 × 172 × 67 × 157
Deficient Even Composite

6,079,982 factors as 2 × 17^2 × 67 × 157. Its 24 positive divisors give a proper-divisor sum of 3,815,242, so this integer is deficient. The Collatz stopping time is 134 steps.

Prime Factor Structure

Factorization String 2 × 17^2 × 67 × 157
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,895,224
Proper Divisor Sum 3,815,242
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #6079979 ← → #6079991

Radix Representation

Decimal 6079982
Binary 10111001100010111101110 (23 bits)
Octal 0o27142756
Hexadecimal 0x5CC5EE

Divisor Catalog (24)

1 2 17 34 67 134 157 289 314 578 1,139 2,278 2,669 5,338 10,519 19,363 21,038 38,726 45,373 90,746 178,823 357,646 3,039,991 6,079,982

Collatz Trajectory (134 steps to reach 1)

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

6,079,982 3,039,991 9,119,974 4,559,987 13,679,962 6,839,981 20,519,944 10,259,972 5,129,986 2,564,993 7,694,980 3,847,490 1,923,745 5,771,236 2,885,618 1,442,809 4,328,428 2,164,214 1,082,107 3,246,322 1,623,161 4,869,484 2,434,742 1,217,371 3,652,114 1,826,057 5,478,172 2,739,086 1,369,543 4,108,630 2,054,315 6,162,946 3,081,473 9,244,420 4,622,210 2,311,105 6,933,316 3,466,658 1,733,329 5,199,988 2,599,994 1,299,997 3,899,992 1,949,996 974,998 487,499 1,462,498 731,249 2,193,748 1,096,874 548,437 1,645,312 822,656 411,328 205,664 102,832 51,416 25,708 12,854 6,427

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