4,233,021

3 × 13 × 311 × 349

Starting at 4,233,021, the Collatz iteration reaches 1 after 273 steps. The first transition is 12699064; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 13 × 311 × 349

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,115,200

Proper Divisor Sum 1,882,179

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #4233013 ← → #4233023

Radix Representation

Decimal	4233021
Binary	10000001001011100111101 (23 bits)
Octal	0o20113475
Hexadecimal	0x40973D

Divisor Catalog (16)

1 3 13 39 311 349 933 1,047 4,043 4,537 12,129 13,611 108,539 325,617 1,411,007 4,233,021

Collatz Trajectory (273 steps to reach 1)

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

4,233,021 12,699,064 6,349,532 3,174,766 1,587,383 4,762,150 2,381,075 7,143,226 3,571,613 10,714,840 5,357,420 2,678,710 1,339,355 4,018,066 2,009,033 6,027,100 3,013,550 1,506,775 4,520,326 2,260,163 6,780,490 3,390,245 10,170,736 5,085,368 2,542,684 1,271,342 635,671 1,907,014 953,507 2,860,522 1,430,261 4,290,784 2,145,392 1,072,696 536,348 268,174 134,087 402,262 201,131 603,394 301,697 905,092 452,546 226,273 678,820 339,410 169,705 509,116 254,558 127,279 381,838 190,919 572,758 286,379 859,138 429,569 1,288,708 644,354 322,177 966,532

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