2,311,967

7² × 29 × 1627

Starting at 2,311,967, the Collatz iteration reaches 1 after 192 steps. The first transition is 6935902; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 7^2 × 29 × 1627

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 2,783,880

Proper Divisor Sum 471,913

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #2311957 ← → #2311993

Radix Representation

Decimal	2311967
Binary	1000110100011100011111 (22 bits)
Octal	0o10643437
Hexadecimal	0x23471F

Divisor Catalog (12)

1 7 29 49 203 1,421 1,627 11,389 47,183 79,723 330,281 2,311,967

Collatz Trajectory (192 steps to reach 1)

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

2,311,967 6,935,902 3,467,951 10,403,854 5,201,927 15,605,782 7,802,891 23,408,674 11,704,337 35,113,012 17,556,506 8,778,253 26,334,760 13,167,380 6,583,690 3,291,845 9,875,536 4,937,768 2,468,884 1,234,442 617,221 1,851,664 925,832 462,916 231,458 115,729 347,188 173,594 86,797 260,392 130,196 65,098 32,549 97,648 48,824 24,412 12,206 6,103 18,310 9,155 27,466 13,733 41,200 20,600 10,300 5,150 2,575 7,726 3,863 11,590 5,795 17,386 8,693 26,080 13,040 6,520 3,260 1,630 815 2,446

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