54,005,263

13 × 137 × 30323

54,005,263 factors as 13 × 137 × 30323. Its 8 positive divisors give a proper-divisor sum of 4,580,705, so this integer is deficient. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 13 × 137 × 30323

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 58,585,968

Proper Divisor Sum 4,580,705

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #54005257 ← → #54005267

Radix Representation

Decimal	54005263
Binary	11001110000000111000001111 (26 bits)
Octal	0o316007017
Hexadecimal	0x3380E0F

Divisor Catalog (8)

1 13 137 1,781 30,323 394,199 4,154,251 54,005,263

Collatz Trajectory (137 steps to reach 1)

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

54,005,263 162,015,790 81,007,895 243,023,686 121,511,843 364,535,530 182,267,765 546,803,296 273,401,648 136,700,824 68,350,412 34,175,206 17,087,603 51,262,810 25,631,405 76,894,216 38,447,108 19,223,554 9,611,777 28,835,332 14,417,666 7,208,833 21,626,500 10,813,250 5,406,625 16,219,876 8,109,938 4,054,969 12,164,908 6,082,454 3,041,227 9,123,682 4,561,841 13,685,524 6,842,762 3,421,381 10,264,144 5,132,072 2,566,036 1,283,018 641,509 1,924,528 962,264 481,132 240,566 120,283 360,850 180,425 541,276 270,638 135,319 405,958 202,979 608,938 304,469 913,408 456,704 228,352 114,176 57,088

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