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Atlas › Integer Profiles › Node 5,142,616

5,142,616

23 × 19 × 23 × 1471
Abundant Even Composite

5,142,616 factors as 2^3 × 19 × 23 × 1471. Its 32 positive divisors give a proper-divisor sum of 5,455,784, so this integer is abundant. The Collatz stopping time is 74 steps.

Prime Factor Structure

Factorization String 2^3 × 19 × 23 × 1471
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,598,400
Proper Divisor Sum 5,455,784
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #5142587 ← → #5142623

Radix Representation

Decimal 5142616
Binary 10011100111100001011000 (23 bits)
Octal 0o23474130
Hexadecimal 0x4E7858

Divisor Catalog (32)

1 2 4 8 19 23 38 46 76 92 152 184 437 874 1,471 1,748 2,942 3,496 5,884 11,768 27,949 33,833 55,898 67,666 111,796 135,332 223,592 270,664 642,827 1,285,654 2,571,308 5,142,616

Collatz Trajectory (74 steps to reach 1)

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

5,142,616 2,571,308 1,285,654 642,827 1,928,482 964,241 2,892,724 1,446,362 723,181 2,169,544 1,084,772 542,386 271,193 813,580 406,790 203,395 610,186 305,093 915,280 457,640 228,820 114,410 57,205 171,616 85,808 42,904 21,452 10,726 5,363 16,090 8,045 24,136 12,068 6,034 3,017 9,052 4,526 2,263 6,790 3,395 10,186 5,093 15,280 7,640 3,820 1,910 955 2,866 1,433 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908

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