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Atlas › Integer Profiles › Node 7,053,424

7,053,424

24 × 7 × 71 × 887
Abundant Even Composite

7,053,424 factors as 2^4 × 7 × 71 × 887. Its 40 positive divisors give a proper-divisor sum of 8,802,704, so this integer is abundant. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 71 × 887
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 15,856,128
Proper Divisor Sum 8,802,704
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #7053407 ← → #7053437

Radix Representation

Decimal 7053424
Binary 11010111010000001110000 (23 bits)
Octal 0o32720160
Hexadecimal 0x6BA070

Divisor Catalog (40)

1 2 4 7 8 14 16 28 56 71 112 142 284 497 568 887 994 1,136 1,774 1,988 3,548 3,976 6,209 7,096 7,952 12,418 14,192 24,836 49,672 62,977 99,344 125,954 251,908 440,839 503,816 881,678 1,007,632 1,763,356 3,526,712 7,053,424

Collatz Trajectory (129 steps to reach 1)

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

7,053,424 3,526,712 1,763,356 881,678 440,839 1,322,518 661,259 1,983,778 991,889 2,975,668 1,487,834 743,917 2,231,752 1,115,876 557,938 278,969 836,908 418,454 209,227 627,682 313,841 941,524 470,762 235,381 706,144 353,072 176,536 88,268 44,134 22,067 66,202 33,101 99,304 49,652 24,826 12,413 37,240 18,620 9,310 4,655 13,966 6,983 20,950 10,475 31,426 15,713 47,140 23,570 11,785 35,356 17,678 8,839 26,518 13,259 39,778 19,889 59,668 29,834 14,917 44,752

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