3,630,289

13² × 21481

Starting at 3,630,289, the Collatz iteration reaches 1 after 115 steps. The first transition is 10890868; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 13^2 × 21481

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 3,931,206

Proper Divisor Sum 300,917

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #3630281 ← → #3630323

Radix Representation

Decimal	3630289
Binary	1101110110010011010001 (22 bits)
Octal	0o15662321
Hexadecimal	0x3764D1

Divisor Catalog (6)

1 13 169 21,481 279,253 3,630,289

Collatz Trajectory (115 steps to reach 1)

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

3,630,289 10,890,868 5,445,434 2,722,717 8,168,152 4,084,076 2,042,038 1,021,019 3,063,058 1,531,529 4,594,588 2,297,294 1,148,647 3,445,942 1,722,971 5,168,914 2,584,457 7,753,372 3,876,686 1,938,343 5,815,030 2,907,515 8,722,546 4,361,273 13,083,820 6,541,910 3,270,955 9,812,866 4,906,433 14,719,300 7,359,650 3,679,825 11,039,476 5,519,738 2,759,869 8,279,608 4,139,804 2,069,902 1,034,951 3,104,854 1,552,427 4,657,282 2,328,641 6,985,924 3,492,962 1,746,481 5,239,444 2,619,722 1,309,861 3,929,584 1,964,792 982,396 491,198 245,599 736,798 368,399 1,105,198 552,599 1,657,798 828,899

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