λ
Ratio Atlas

2,051,465

5 × 13 × 37 × 853
Deficient Odd Composite

2,051,465 factors as 5 × 13 × 37 × 853. Its 16 positive divisors give a proper-divisor sum of 674,503, so this integer is deficient. The Collatz stopping time is 78 steps.

Prime Factor Structure

Factorization String 5 × 13 × 37 × 853
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,725,968
Proper Divisor Sum 674,503
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #2051461 ← → #2051477

Radix Representation

Decimal 2051465
Binary 111110100110110001001 (21 bits)
Octal 0o7646611
Hexadecimal 0x1F4D89

Divisor Catalog (16)

1 5 13 37 65 185 481 853 2,405 4,265 11,089 31,561 55,445 157,805 410,293 2,051,465

Collatz Trajectory (78 steps to reach 1)

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

2,051,465 6,154,396 3,077,198 1,538,599 4,615,798 2,307,899 6,923,698 3,461,849 10,385,548 5,192,774 2,596,387 7,789,162 3,894,581 11,683,744 5,841,872 2,920,936 1,460,468 730,234 365,117 1,095,352 547,676 273,838 136,919 410,758 205,379 616,138 308,069 924,208 462,104 231,052 115,526 57,763 173,290 86,645 259,936 129,968 64,984 32,492 16,246 8,123 24,370 12,185 36,556 18,278 9,139 27,418 13,709 41,128 20,564 10,282 5,141 15,424 7,712 3,856 1,928 964 482 241 724 362

More profiles

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