4,121,692

2² × 23 × 71 × 631

Starting at 4,121,692, the Collatz iteration reaches 1 after 105 steps. The first transition is 2060846; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 23 × 71 × 631

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,644,672

Proper Divisor Sum 3,522,980

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #4121687 ← → #4121693

Radix Representation

Decimal	4121692
Binary	1111101110010001011100 (22 bits)
Octal	0o17562134
Hexadecimal	0x3EE45C

Divisor Catalog (24)

1 2 4 23 46 71 92 142 284 631 1,262 1,633 2,524 3,266 6,532 14,513 29,026 44,801 58,052 89,602 179,204 1,030,423 2,060,846 4,121,692

Collatz Trajectory (105 steps to reach 1)

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

4,121,692 2,060,846 1,030,423 3,091,270 1,545,635 4,636,906 2,318,453 6,955,360 3,477,680 1,738,840 869,420 434,710 217,355 652,066 326,033 978,100 489,050 244,525 733,576 366,788 183,394 91,697 275,092 137,546 68,773 206,320 103,160 51,580 25,790 12,895 38,686 19,343 58,030 29,015 87,046 43,523 130,570 65,285 195,856 97,928 48,964 24,482 12,241 36,724 18,362 9,181 27,544 13,772 6,886 3,443 10,330 5,165 15,496 7,748 3,874 1,937 5,812 2,906 1,453 4,360

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