6,137,729

13 × 472133

6,137,729 factors as 13 × 472133. Its 4 positive divisors give a proper-divisor sum of 472,147, so this integer is deficient. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 13 × 472133

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 6,609,876

Proper Divisor Sum 472,147

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #6137717 ← → #6137749

Radix Representation

Decimal	6137729
Binary	10111011010011110000001 (23 bits)
Octal	0o27323601
Hexadecimal	0x5DA781

Divisor Catalog (4)

1 13 472,133 6,137,729

Collatz Trajectory (108 steps to reach 1)

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

6,137,729 18,413,188 9,206,594 4,603,297 13,809,892 6,904,946 3,452,473 10,357,420 5,178,710 2,589,355 7,768,066 3,884,033 11,652,100 5,826,050 2,913,025 8,739,076 4,369,538 2,184,769 6,554,308 3,277,154 1,638,577 4,915,732 2,457,866 1,228,933 3,686,800 1,843,400 921,700 460,850 230,425 691,276 345,638 172,819 518,458 259,229 777,688 388,844 194,422 97,211 291,634 145,817 437,452 218,726 109,363 328,090 164,045 492,136 246,068 123,034 61,517 184,552 92,276 46,138 23,069 69,208 34,604 17,302 8,651 25,954 12,977 38,932

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