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Atlas › Integer Profiles › Node 3,145,545

3,145,545

32 × 5 × 13 × 19 × 283
Deficient Odd Composite

3,145,545 factors as 3^2 × 5 × 13 × 19 × 283. Its 48 positive divisors give a proper-divisor sum of 3,057,015, so this integer is deficient. The Collatz stopping time is 71 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 13 × 19 × 283
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,202,560
Proper Divisor Sum 3,057,015
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3145529 ← → #3145547

Radix Representation

Decimal 3145545
Binary 1011111111111101001001 (22 bits)
Octal 0o13777511
Hexadecimal 0x2FFF49

Divisor Catalog (48)

1 3 5 9 13 15 19 39 45 57 65 95 117 171 195 247 283 285 585 741 849 855 1,235 1,415 2,223 2,547 3,679 3,705 4,245 5,377 11,037 11,115 12,735 16,131 18,395 26,885 33,111 48,393 55,185 69,901 80,655 165,555 209,703 241,965 349,505 629,109 1,048,515 3,145,545

Collatz Trajectory (71 steps to reach 1)

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

3,145,545 9,436,636 4,718,318 2,359,159 7,077,478 3,538,739 10,616,218 5,308,109 15,924,328 7,962,164 3,981,082 1,990,541 5,971,624 2,985,812 1,492,906 746,453 2,239,360 1,119,680 559,840 279,920 139,960 69,980 34,990 17,495 52,486 26,243 78,730 39,365 118,096 59,048 29,524 14,762 7,381 22,144 11,072 5,536 2,768 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17

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