λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,602,012

4,602,012

22 × 3 × 31 × 89 × 139
Abundant Even Composite

4,602,012 factors as 2^2 × 3 × 31 × 89 × 139. Its 48 positive divisors give a proper-divisor sum of 6,687,588, so this integer is abundant. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 31 × 89 × 139
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 11,289,600
Proper Divisor Sum 6,687,588
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #4602011 ← → #4602041

Radix Representation

Decimal 4602012
Binary 10001100011100010011100 (23 bits)
Octal 0o21434234
Hexadecimal 0x46389C

Divisor Catalog (48)

1 2 3 4 6 12 31 62 89 93 124 139 178 186 267 278 356 372 417 534 556 834 1,068 1,668 2,759 4,309 5,518 8,277 8,618 11,036 12,371 12,927 16,554 17,236 24,742 25,854 33,108 37,113 49,484 51,708 74,226 148,452 383,501 767,002 1,150,503 1,534,004 2,301,006 4,602,012

Collatz Trajectory (100 steps to reach 1)

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

4,602,012 2,301,006 1,150,503 3,451,510 1,725,755 5,177,266 2,588,633 7,765,900 3,882,950 1,941,475 5,824,426 2,912,213 8,736,640 4,368,320 2,184,160 1,092,080 546,040 273,020 136,510 68,255 204,766 102,383 307,150 153,575 460,726 230,363 691,090 345,545 1,036,636 518,318 259,159 777,478 388,739 1,166,218 583,109 1,749,328 874,664 437,332 218,666 109,333 328,000 164,000 82,000 41,000 20,500 10,250 5,125 15,376 7,688 3,844 1,922 961 2,884 1,442 721 2,164 1,082 541 1,624 812

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #4,602,011 Browse Full Index Next Integer #4,602,013 →