λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,301,006

2,301,006

2 × 3 × 31 × 89 × 139
Abundant Even Composite

2,301,006 factors as 2 × 3 × 31 × 89 × 139. Its 32 positive divisors give a proper-divisor sum of 2,537,394, so this integer is abundant. The Collatz stopping time is 99 steps.

Prime Factor Structure

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

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,838,400
Proper Divisor Sum 2,537,394
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #2300999 ← → #2301011

Radix Representation

Decimal 2301006
Binary 1000110001110001001110 (22 bits)
Octal 0o10616116
Hexadecimal 0x231C4E

Divisor Catalog (32)

1 2 3 6 31 62 89 93 139 178 186 267 278 417 534 834 2,759 4,309 5,518 8,277 8,618 12,371 12,927 16,554 24,742 25,854 37,113 74,226 383,501 767,002 1,150,503 2,301,006

Collatz Trajectory (99 steps to reach 1)

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

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 1,624 812 406

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #2,301,005 Browse Full Index Next Integer #2,301,007 →