5,182,461

3⁶ × 7109

Starting at 5,182,461, the Collatz iteration reaches 1 after 219 steps. The first transition is 15547384; the starting value is odd with 14 positive divisors.

Prime Factor Structure

Factorization String 3^6 × 7109

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 14

Divisor Sum (σ) 7,771,230

Proper Divisor Sum 2,588,769

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #5182453 ← → #5182469

Radix Representation

Decimal	5182461
Binary	10011110001001111111101 (23 bits)
Octal	0o23611775
Hexadecimal	0x4F13FD

Divisor Catalog (14)

1 3 9 27 81 243 729 7,109 21,327 63,981 191,943 575,829 1,727,487 5,182,461

Collatz Trajectory (219 steps to reach 1)

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

5,182,461 15,547,384 7,773,692 3,886,846 1,943,423 5,830,270 2,915,135 8,745,406 4,372,703 13,118,110 6,559,055 19,677,166 9,838,583 29,515,750 14,757,875 44,273,626 22,136,813 66,410,440 33,205,220 16,602,610 8,301,305 24,903,916 12,451,958 6,225,979 18,677,938 9,338,969 28,016,908 14,008,454 7,004,227 21,012,682 10,506,341 31,519,024 15,759,512 7,879,756 3,939,878 1,969,939 5,909,818 2,954,909 8,864,728 4,432,364 2,216,182 1,108,091 3,324,274 1,662,137 4,986,412 2,493,206 1,246,603 3,739,810 1,869,905 5,609,716 2,804,858 1,402,429 4,207,288 2,103,644 1,051,822 525,911 1,577,734 788,867 2,366,602 1,183,301

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