3,669,835

5 × 13² × 43 × 101

Starting at 3,669,835, the Collatz iteration reaches 1 after 110 steps. The first transition is 11009506; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 5 × 13^2 × 43 × 101

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 4,927,824

Proper Divisor Sum 1,257,989

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #3669833 ← → #3669839

Radix Representation

Decimal	3669835
Binary	1101111111111101001011 (22 bits)
Octal	0o15777513
Hexadecimal	0x37FF4B

Divisor Catalog (24)

1 5 13 43 65 101 169 215 505 559 845 1,313 2,795 4,343 6,565 7,267 17,069 21,715 36,335 56,459 85,345 282,295 733,967 3,669,835

Collatz Trajectory (110 steps to reach 1)

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

3,669,835 11,009,506 5,504,753 16,514,260 8,257,130 4,128,565 12,385,696 6,192,848 3,096,424 1,548,212 774,106 387,053 1,161,160 580,580 290,290 145,145 435,436 217,718 108,859 326,578 163,289 489,868 244,934 122,467 367,402 183,701 551,104 275,552 137,776 68,888 34,444 17,222 8,611 25,834 12,917 38,752 19,376 9,688 4,844 2,422 1,211 3,634 1,817 5,452 2,726 1,363 4,090 2,045 6,136 3,068 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887

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