λ
Ratio Atlas

45,354,537

32 × 61 × 82613
Deficient Odd Composite

45,354,537 factors as 3^2 × 61 × 82613. Its 12 positive divisors give a proper-divisor sum of 21,232,347, so this integer is deficient. The Collatz stopping time is 248 steps.

Prime Factor Structure

Factorization String 3^2 × 61 × 82613
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 66,586,884
Proper Divisor Sum 21,232,347
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #45354509 ← → #45354541

Radix Representation

Decimal 45354537
Binary 10101101000000111000101001 (26 bits)
Octal 0o255007051
Hexadecimal 0x2B40E29

Divisor Catalog (12)

Collatz Trajectory (248 steps to reach 1)

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

45,354,537 136,063,612 68,031,806 34,015,903 102,047,710 51,023,855 153,071,566 76,535,783 229,607,350 114,803,675 344,411,026 172,205,513 516,616,540 258,308,270 129,154,135 387,462,406 193,731,203 581,193,610 290,596,805 871,790,416 435,895,208 217,947,604 108,973,802 54,486,901 163,460,704 81,730,352 40,865,176 20,432,588 10,216,294 5,108,147 15,324,442 7,662,221 22,986,664 11,493,332 5,746,666 2,873,333 8,620,000 4,310,000 2,155,000 1,077,500 538,750 269,375 808,126 404,063 1,212,190 606,095 1,818,286 909,143 2,727,430 1,363,715 4,091,146 2,045,573 6,136,720 3,068,360 1,534,180 767,090 383,545 1,150,636 575,318 287,659

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