5,181,015

3 × 5 × 7³ × 19 × 53

Starting at 5,181,015, the Collatz iteration reaches 1 after 188 steps. The first transition is 15543046; the starting value is odd with 64 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 7^3 × 19 × 53

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 10,368,000

Proper Divisor Sum 5,186,985

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #5181013 ← → #5181017

Radix Representation

Decimal	5181015
Binary	10011110000111001010111 (23 bits)
Octal	0o23607127
Hexadecimal	0x4F0E57

Divisor Catalog (60 of 64)

1 3 5 7 15 19 21 35 49 53 57 95 105 133 147 159 245 265 285 343 371 399 665 735 795 931 1,007 1,029 1,113 1,715 1,855 1,995 2,597 2,793 3,021 4,655 5,035 5,145 5,565 6,517 7,049 7,791 12,985 13,965 15,105 18,179 19,551 21,147 32,585 35,245 38,955 49,343 54,537 90,895 97,755 105,735 148,029 246,715 272,685 345,401

Collatz Trajectory (188 steps to reach 1)

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

5,181,015 15,543,046 7,771,523 23,314,570 11,657,285 34,971,856 17,485,928 8,742,964 4,371,482 2,185,741 6,557,224 3,278,612 1,639,306 819,653 2,458,960 1,229,480 614,740 307,370 153,685 461,056 230,528 115,264 57,632 28,816 14,408 7,204 3,602 1,801 5,404 2,702 1,351 4,054 2,027 6,082 3,041 9,124 4,562 2,281 6,844 3,422 1,711 5,134 2,567 7,702 3,851 11,554 5,777 17,332 8,666 4,333 13,000 6,500 3,250 1,625 4,876 2,438 1,219 3,658 1,829 5,488

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