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Atlas › Integer Profiles › Node 2,970,544

2,970,544

24 × 31 × 53 × 113
Abundant Even Composite

2,970,544 factors as 2^4 × 31 × 53 × 113. Its 40 positive divisors give a proper-divisor sum of 3,136,208, so this integer is abundant. The Collatz stopping time is 89 steps.

Prime Factor Structure

Factorization String 2^4 × 31 × 53 × 113
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 6,106,752
Proper Divisor Sum 3,136,208
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2970533 ← → #2970551

Radix Representation

Decimal 2970544
Binary 1011010101001110110000 (22 bits)
Octal 0o13251660
Hexadecimal 0x2D53B0

Divisor Catalog (40)

1 2 4 8 16 31 53 62 106 113 124 212 226 248 424 452 496 848 904 1,643 1,808 3,286 3,503 5,989 6,572 7,006 11,978 13,144 14,012 23,956 26,288 28,024 47,912 56,048 95,824 185,659 371,318 742,636 1,485,272 2,970,544

Collatz Trajectory (89 steps to reach 1)

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

2,970,544 1,485,272 742,636 371,318 185,659 556,978 278,489 835,468 417,734 208,867 626,602 313,301 939,904 469,952 234,976 117,488 58,744 29,372 14,686 7,343 22,030 11,015 33,046 16,523 49,570 24,785 74,356 37,178 18,589 55,768 27,884 13,942 6,971 20,914 10,457 31,372 15,686 7,843 23,530 11,765 35,296 17,648 8,824 4,412 2,206 1,103 3,310 1,655 4,966 2,483 7,450 3,725 11,176 5,588 2,794 1,397 4,192 2,096 1,048 524

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