2,121,395

5 × 37 × 11467

Starting at 2,121,395, the Collatz iteration reaches 1 after 109 steps. The first transition is 6364186; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 37 × 11467

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 2,614,704

Proper Divisor Sum 493,309

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #2121389 ← → #2121403

Radix Representation

Decimal	2121395
Binary	1000000101111010110011 (22 bits)
Octal	0o10057263
Hexadecimal	0x205EB3

Divisor Catalog (8)

1 5 37 185 11,467 57,335 424,279 2,121,395

Collatz Trajectory (109 steps to reach 1)

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

2,121,395 6,364,186 3,182,093 9,546,280 4,773,140 2,386,570 1,193,285 3,579,856 1,789,928 894,964 447,482 223,741 671,224 335,612 167,806 83,903 251,710 125,855 377,566 188,783 566,350 283,175 849,526 424,763 1,274,290 637,145 1,911,436 955,718 477,859 1,433,578 716,789 2,150,368 1,075,184 537,592 268,796 134,398 67,199 201,598 100,799 302,398 151,199 453,598 226,799 680,398 340,199 1,020,598 510,299 1,530,898 765,449 2,296,348 1,148,174 574,087 1,722,262 861,131 2,583,394 1,291,697 3,875,092 1,937,546 968,773 2,906,320

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