368,809

7 × 19 × 47 × 59

368,809 factors as 7 × 19 × 47 × 59. Its 16 positive divisors give a proper-divisor sum of 91,991, so this integer is deficient. The Collatz stopping time is 179 steps.

Prime Factor Structure

Factorization String 7 × 19 × 47 × 59

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 460,800

Proper Divisor Sum 91,991

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #368803 ← → #368833

Radix Representation

Decimal	368809
Binary	1011010000010101001 (19 bits)
Octal	0o1320251
Hexadecimal	0x5A0A9

Divisor Catalog (16)

1 7 19 47 59 133 329 413 893 1,121 2,773 6,251 7,847 19,411 52,687 368,809

Collatz Trajectory (179 steps to reach 1)

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

368,809 1,106,428 553,214 276,607 829,822 414,911 1,244,734 622,367 1,867,102 933,551 2,800,654 1,400,327 4,200,982 2,100,491 6,301,474 3,150,737 9,452,212 4,726,106 2,363,053 7,089,160 3,544,580 1,772,290 886,145 2,658,436 1,329,218 664,609 1,993,828 996,914 498,457 1,495,372 747,686 373,843 1,121,530 560,765 1,682,296 841,148 420,574 210,287 630,862 315,431 946,294 473,147 1,419,442 709,721 2,129,164 1,064,582 532,291 1,596,874 798,437 2,395,312 1,197,656 598,828 299,414 149,707 449,122 224,561 673,684 336,842 168,421 505,264

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