3,630,849

3 × 23 × 101 × 521

Starting at 3,630,849, the Collatz iteration reaches 1 after 172 steps. The first transition is 10892548; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 23 × 101 × 521

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,111,424

Proper Divisor Sum 1,480,575

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3630841 ← → #3630857

Radix Representation

Decimal	3630849
Binary	1101110110011100000001 (22 bits)
Octal	0o15663401
Hexadecimal	0x376701

Divisor Catalog (16)

1 3 23 69 101 303 521 1,563 2,323 6,969 11,983 35,949 52,621 157,863 1,210,283 3,630,849

Collatz Trajectory (172 steps to reach 1)

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

3,630,849 10,892,548 5,446,274 2,723,137 8,169,412 4,084,706 2,042,353 6,127,060 3,063,530 1,531,765 4,595,296 2,297,648 1,148,824 574,412 287,206 143,603 430,810 215,405 646,216 323,108 161,554 80,777 242,332 121,166 60,583 181,750 90,875 272,626 136,313 408,940 204,470 102,235 306,706 153,353 460,060 230,030 115,015 345,046 172,523 517,570 258,785 776,356 388,178 194,089 582,268 291,134 145,567 436,702 218,351 655,054 327,527 982,582 491,291 1,473,874 736,937 2,210,812 1,105,406 552,703 1,658,110 829,055

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