λ
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3,301,896

23 × 3 × 13 × 19 × 557
Abundant Even Composite

3,301,896 factors as 2^3 × 3 × 13 × 19 × 557. Its 64 positive divisors give a proper-divisor sum of 6,072,504, so this integer is abundant. The Collatz stopping time is 195 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 13 × 19 × 557
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 9,374,400
Proper Divisor Sum 6,072,504
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3301861 ← → #3301901

Radix Representation

Decimal 3301896
Binary 1100100110001000001000 (22 bits)
Octal 0o14461010
Hexadecimal 0x326208

Divisor Catalog (60 of 64)

1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 228 247 312 456 494 557 741 988 1,114 1,482 1,671 1,976 2,228 2,964 3,342 4,456 5,928 6,684 7,241 10,583 13,368 14,482 21,166 21,723 28,964 31,749 42,332 43,446 57,928 63,498 84,664 86,892 126,996 137,579 173,784 253,992 275,158 412,737 550,316

Collatz Trajectory (195 steps to reach 1)

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

3,301,896 1,650,948 825,474 412,737 1,238,212 619,106 309,553 928,660 464,330 232,165 696,496 348,248 174,124 87,062 43,531 130,594 65,297 195,892 97,946 48,973 146,920 73,460 36,730 18,365 55,096 27,548 13,774 6,887 20,662 10,331 30,994 15,497 46,492 23,246 11,623 34,870 17,435 52,306 26,153 78,460 39,230 19,615 58,846 29,423 88,270 44,135 132,406 66,203 198,610 99,305 297,916 148,958 74,479 223,438 111,719 335,158 167,579 502,738 251,369 754,108

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