λ
Ratio Atlas

3,505,151

13 × 79 × 3413
Deficient Odd Composite

3,505,151 factors as 13 × 79 × 3413. Its 8 positive divisors give a proper-divisor sum of 318,529, so this integer is deficient. The Collatz stopping time is 177 steps.

Prime Factor Structure

Factorization String 13 × 79 × 3413
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,823,680
Proper Divisor Sum 318,529
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #3505133 ← → #3505169

Radix Representation

Decimal 3505151
Binary 1101010111101111111111 (22 bits)
Octal 0o15275777
Hexadecimal 0x357BFF

Divisor Catalog (8)

Collatz Trajectory (177 steps to reach 1)

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

3,505,151 10,515,454 5,257,727 15,773,182 7,886,591 23,659,774 11,829,887 35,489,662 17,744,831 53,234,494 26,617,247 79,851,742 39,925,871 119,777,614 59,888,807 179,666,422 89,833,211 269,499,634 134,749,817 404,249,452 202,124,726 101,062,363 303,187,090 151,593,545 454,780,636 227,390,318 113,695,159 341,085,478 170,542,739 511,628,218 255,814,109 767,442,328 383,721,164 191,860,582 95,930,291 287,790,874 143,895,437 431,686,312 215,843,156 107,921,578 53,960,789 161,882,368 80,941,184 40,470,592 20,235,296 10,117,648 5,058,824 2,529,412 1,264,706 632,353 1,897,060 948,530 474,265 1,422,796 711,398 355,699 1,067,098 533,549 1,600,648 800,324

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