λ
Ratio Atlas
Atlas › Integer Profiles › Node 55,453,026

55,453,026

2 × 3 × 61 × 127 × 1193
Abundant Even Composite

55,453,026 factors as 2 × 3 × 61 × 127 × 1193. Its 32 positive divisors give a proper-divisor sum of 58,253,982, so this integer is abundant. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 2 × 3 × 61 × 127 × 1193
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 113,707,008
Proper Divisor Sum 58,253,982
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #55453009 ← → #55453043

Radix Representation

Decimal 55453026
Binary 11010011100010010101100010 (26 bits)
Octal 0o323422542
Hexadecimal 0x34E2562

Divisor Catalog (32)

1 2 3 6 61 122 127 183 254 366 381 762 1,193 2,386 3,579 7,158 7,747 15,494 23,241 46,482 72,773 145,546 151,511 218,319 303,022 436,638 454,533 909,066 9,242,171 18,484,342 27,726,513 55,453,026

Collatz Trajectory (101 steps to reach 1)

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

55,453,026 27,726,513 83,179,540 41,589,770 20,794,885 62,384,656 31,192,328 15,596,164 7,798,082 3,899,041 11,697,124 5,848,562 2,924,281 8,772,844 4,386,422 2,193,211 6,579,634 3,289,817 9,869,452 4,934,726 2,467,363 7,402,090 3,701,045 11,103,136 5,551,568 2,775,784 1,387,892 693,946 346,973 1,040,920 520,460 260,230 130,115 390,346 195,173 585,520 292,760 146,380 73,190 36,595 109,786 54,893 164,680 82,340 41,170 20,585 61,756 30,878 15,439 46,318 23,159 69,478 34,739 104,218 52,109 156,328 78,164 39,082 19,541 58,624

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #55,453,025 Browse Full Index Next Integer #55,453,027 →