4,137,429

3 × 163 × 8461

Starting at 4,137,429, the Collatz iteration reaches 1 after 53 steps. The first transition is 12412288; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 163 × 8461

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,551,072

Proper Divisor Sum 1,413,643

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #4137389 ← → #4137437

Radix Representation

Decimal	4137429
Binary	1111110010000111010101 (22 bits)
Octal	0o17620725
Hexadecimal	0x3F21D5

Divisor Catalog (8)

1 3 163 489 8,461 25,383 1,379,143 4,137,429

Collatz Trajectory (53 steps to reach 1)

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

4,137,429 12,412,288 6,206,144 3,103,072 1,551,536 775,768 387,884 193,942 96,971 290,914 145,457 436,372 218,186 109,093 327,280 163,640 81,820 40,910 20,455 61,366 30,683 92,050 46,025 138,076 69,038 34,519 103,558 51,779 155,338 77,669 233,008 116,504 58,252 29,126 14,563 43,690 21,845 65,536 32,768 16,384 8,192 4,096 2,048 1,024 512 256 128 64 32 16 8 4 2 1

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