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Atlas › Integer Profiles › Node 2,962,947

2,962,947

3 × 13 × 17 × 41 × 109
Deficient Odd Composite

2,962,947 factors as 3 × 13 × 17 × 41 × 109. Its 32 positive divisors give a proper-divisor sum of 1,694,013, so this integer is deficient. The Collatz stopping time is 143 steps.

Prime Factor Structure

Factorization String 3 × 13 × 17 × 41 × 109
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,656,960
Proper Divisor Sum 1,694,013
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #2962943 ← → #2962961

Radix Representation

Decimal 2962947
Binary 1011010011011000000011 (22 bits)
Octal 0o13233003
Hexadecimal 0x2D3603

Divisor Catalog (32)

1 3 13 17 39 41 51 109 123 221 327 533 663 697 1,417 1,599 1,853 2,091 4,251 4,469 5,559 9,061 13,407 24,089 27,183 58,097 72,267 75,973 174,291 227,919 987,649 2,962,947

Collatz Trajectory (143 steps to reach 1)

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

2,962,947 8,888,842 4,444,421 13,333,264 6,666,632 3,333,316 1,666,658 833,329 2,499,988 1,249,994 624,997 1,874,992 937,496 468,748 234,374 117,187 351,562 175,781 527,344 263,672 131,836 65,918 32,959 98,878 49,439 148,318 74,159 222,478 111,239 333,718 166,859 500,578 250,289 750,868 375,434 187,717 563,152 281,576 140,788 70,394 35,197 105,592 52,796 26,398 13,199 39,598 19,799 59,398 29,699 89,098 44,549 133,648 66,824 33,412 16,706 8,353 25,060 12,530 6,265 18,796

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