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Atlas › Integer Profiles › Node 54,079,144

54,079,144

23 × 72 × 137957
Abundant Even Composite

54,079,144 factors as 2^3 × 7^2 × 137957. Its 24 positive divisors give a proper-divisor sum of 63,874,946, so this integer is abundant. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 2^3 × 7^2 × 137957
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 117,954,090
Proper Divisor Sum 63,874,946
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #54079139 ← → #54079189

Radix Representation

Decimal 54079144
Binary 11001110010010111010101000 (26 bits)
Octal 0o316227250
Hexadecimal 0x3392EA8

Divisor Catalog (24)

1 2 4 7 8 14 28 49 56 98 196 392 137,957 275,914 551,828 965,699 1,103,656 1,931,398 3,862,796 6,759,893 7,725,592 13,519,786 27,039,572 54,079,144

Collatz Trajectory (88 steps to reach 1)

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

54,079,144 27,039,572 13,519,786 6,759,893 20,279,680 10,139,840 5,069,920 2,534,960 1,267,480 633,740 316,870 158,435 475,306 237,653 712,960 356,480 178,240 89,120 44,560 22,280 11,140 5,570 2,785 8,356 4,178 2,089 6,268 3,134 1,567 4,702 2,351 7,054 3,527 10,582 5,291 15,874 7,937 23,812 11,906 5,953 17,860 8,930 4,465 13,396 6,698 3,349 10,048 5,024 2,512 1,256 628 314 157 472 236 118 59 178 89 268

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