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3,370,250

2 × 53 × 13 × 17 × 61
Abundant Even Composite

3,370,250 factors as 2 × 5^3 × 13 × 17 × 61. Its 64 positive divisors give a proper-divisor sum of 3,941,782, so this integer is abundant. The Collatz stopping time is 244 steps.

Prime Factor Structure

Factorization String 2 × 5^3 × 13 × 17 × 61
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 7,312,032
Proper Divisor Sum 3,941,782
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #3370249 ← → #3370253

Radix Representation

Decimal 3370250
Binary 1100110110110100001010 (22 bits)
Octal 0o14666412
Hexadecimal 0x336D0A

Divisor Catalog (60 of 64)

1 2 5 10 13 17 25 26 34 50 61 65 85 122 125 130 170 221 250 305 325 425 442 610 650 793 850 1,037 1,105 1,525 1,586 1,625 2,074 2,125 2,210 3,050 3,250 3,965 4,250 5,185 5,525 7,625 7,930 10,370 11,050 13,481 15,250 19,825 25,925 26,962 27,625 39,650 51,850 55,250 67,405 99,125 129,625 134,810 198,250 259,250

Collatz Trajectory (244 steps to reach 1)

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

3,370,250 1,685,125 5,055,376 2,527,688 1,263,844 631,922 315,961 947,884 473,942 236,971 710,914 355,457 1,066,372 533,186 266,593 799,780 399,890 199,945 599,836 299,918 149,959 449,878 224,939 674,818 337,409 1,012,228 506,114 253,057 759,172 379,586 189,793 569,380 284,690 142,345 427,036 213,518 106,759 320,278 160,139 480,418 240,209 720,628 360,314 180,157 540,472 270,236 135,118 67,559 202,678 101,339 304,018 152,009 456,028 228,014 114,007 342,022 171,011 513,034 256,517 769,552

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