52,014,013

113 × 460301

52,014,013 factors as 113 × 460301. Its 4 positive divisors give a proper-divisor sum of 460,415, so this integer is deficient. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 113 × 460301

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 52,474,428

Proper Divisor Sum 460,415

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #52013989 ← → #52014031

Radix Representation

Decimal	52014013
Binary	11000110011010101110111101 (26 bits)
Octal	0o306325675
Hexadecimal	0x319ABBD

Divisor Catalog (4)

1 113 460,301 52,014,013

Collatz Trajectory (199 steps to reach 1)

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

52,014,013 156,042,040 78,021,020 39,010,510 19,505,255 58,515,766 29,257,883 87,773,650 43,886,825 131,660,476 65,830,238 32,915,119 98,745,358 49,372,679 148,118,038 74,059,019 222,177,058 111,088,529 333,265,588 166,632,794 83,316,397 249,949,192 124,974,596 62,487,298 31,243,649 93,730,948 46,865,474 23,432,737 70,298,212 35,149,106 17,574,553 52,723,660 26,361,830 13,180,915 39,542,746 19,771,373 59,314,120 29,657,060 14,828,530 7,414,265 22,242,796 11,121,398 5,560,699 16,682,098 8,341,049 25,023,148 12,511,574 6,255,787 18,767,362 9,383,681 28,151,044 14,075,522 7,037,761 21,113,284 10,556,642 5,278,321 15,834,964 7,917,482 3,958,741 11,876,224

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