λ
Ratio Atlas
Atlas › Integer Profiles › Node 6,130,040

6,130,040

23 × 5 × 7 × 21893
Abundant Even Composite

6,130,040 factors as 2^3 × 5 × 7 × 21893. Its 32 positive divisors give a proper-divisor sum of 9,633,640, so this integer is abundant. The Collatz stopping time is 227 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 21893
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,763,680
Proper Divisor Sum 9,633,640
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #6130021 ← → #6130043

Radix Representation

Decimal 6130040
Binary 10111011000100101111000 (23 bits)
Octal 0o27304570
Hexadecimal 0x5D8978

Divisor Catalog (32)

1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 21,893 43,786 87,572 109,465 153,251 175,144 218,930 306,502 437,860 613,004 766,255 875,720 1,226,008 1,532,510 3,065,020 6,130,040

Collatz Trajectory (227 steps to reach 1)

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

6,130,040 3,065,020 1,532,510 766,255 2,298,766 1,149,383 3,448,150 1,724,075 5,172,226 2,586,113 7,758,340 3,879,170 1,939,585 5,818,756 2,909,378 1,454,689 4,364,068 2,182,034 1,091,017 3,273,052 1,636,526 818,263 2,454,790 1,227,395 3,682,186 1,841,093 5,523,280 2,761,640 1,380,820 690,410 345,205 1,035,616 517,808 258,904 129,452 64,726 32,363 97,090 48,545 145,636 72,818 36,409 109,228 54,614 27,307 81,922 40,961 122,884 61,442 30,721 92,164 46,082 23,041 69,124 34,562 17,281 51,844 25,922 12,961 38,884

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #6,130,039 Browse Full Index Next Integer #6,130,041 →