λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,698,012

4,698,012

22 × 3 × 11 × 35591
Abundant Even Composite

4,698,012 factors as 2^2 × 3 × 11 × 35591. Its 24 positive divisors give a proper-divisor sum of 7,260,900, so this integer is abundant. The Collatz stopping time is 131 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 35591
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 11,958,912
Proper Divisor Sum 7,260,900
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4698007 ← → #4698013

Radix Representation

Decimal 4698012
Binary 10001111010111110011100 (23 bits)
Octal 0o21727634
Hexadecimal 0x47AF9C

Divisor Catalog (24)

1 2 3 4 6 11 12 22 33 44 66 132 35,591 71,182 106,773 142,364 213,546 391,501 427,092 783,002 1,174,503 1,566,004 2,349,006 4,698,012

Collatz Trajectory (131 steps to reach 1)

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

4,698,012 2,349,006 1,174,503 3,523,510 1,761,755 5,285,266 2,642,633 7,927,900 3,963,950 1,981,975 5,945,926 2,972,963 8,918,890 4,459,445 13,378,336 6,689,168 3,344,584 1,672,292 836,146 418,073 1,254,220 627,110 313,555 940,666 470,333 1,411,000 705,500 352,750 176,375 529,126 264,563 793,690 396,845 1,190,536 595,268 297,634 148,817 446,452 223,226 111,613 334,840 167,420 83,710 41,855 125,566 62,783 188,350 94,175 282,526 141,263 423,790 211,895 635,686 317,843 953,530 476,765 1,430,296 715,148 357,574 178,787

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #4,698,011 Browse Full Index Next Integer #4,698,013 →