λ
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Atlas › Integer Profiles › Node 54,075,378

54,075,378

2 × 3 × 7 × 149 × 8641
Abundant Even Composite

54,075,378 factors as 2 × 3 × 7 × 149 × 8641. Its 32 positive divisors give a proper-divisor sum of 70,369,422, so this integer is abundant. The Collatz stopping time is 256 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 149 × 8641
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 124,444,800
Proper Divisor Sum 70,369,422
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #54075367 ← → #54075403

Radix Representation

Decimal 54075378
Binary 11001110010001111111110010 (26 bits)
Octal 0o316217762
Hexadecimal 0x3391FF2

Divisor Catalog (32)

1 2 3 6 7 14 21 42 149 298 447 894 1,043 2,086 3,129 6,258 8,641 17,282 25,923 51,846 60,487 120,974 181,461 362,922 1,287,509 2,575,018 3,862,527 7,725,054 9,012,563 18,025,126 27,037,689 54,075,378

Collatz Trajectory (256 steps to reach 1)

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

54,075,378 27,037,689 81,113,068 40,556,534 20,278,267 60,834,802 30,417,401 91,252,204 45,626,102 22,813,051 68,439,154 34,219,577 102,658,732 51,329,366 25,664,683 76,994,050 38,497,025 115,491,076 57,745,538 28,872,769 86,618,308 43,309,154 21,654,577 64,963,732 32,481,866 16,240,933 48,722,800 24,361,400 12,180,700 6,090,350 3,045,175 9,135,526 4,567,763 13,703,290 6,851,645 20,554,936 10,277,468 5,138,734 2,569,367 7,708,102 3,854,051 11,562,154 5,781,077 17,343,232 8,671,616 4,335,808 2,167,904 1,083,952 541,976 270,988 135,494 67,747 203,242 101,621 304,864 152,432 76,216 38,108 19,054 9,527

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