7,723,346

2 × 571 × 6763

Starting at 7,723,346, the Collatz iteration reaches 1 after 72 steps. The first transition is 3861673; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 571 × 6763

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 11,607,024

Proper Divisor Sum 3,883,678

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #7723337 ← → #7723349

Radix Representation

Decimal	7723346
Binary	11101011101100101010010 (23 bits)
Octal	0o35354522
Hexadecimal	0x75D952

Divisor Catalog (8)

1 2 571 1,142 6,763 13,526 3,861,673 7,723,346

Collatz Trajectory (72 steps to reach 1)

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

7,723,346 3,861,673 11,585,020 5,792,510 2,896,255 8,688,766 4,344,383 13,033,150 6,516,575 19,549,726 9,774,863 29,324,590 14,662,295 43,986,886 21,993,443 65,980,330 32,990,165 98,970,496 49,485,248 24,742,624 12,371,312 6,185,656 3,092,828 1,546,414 773,207 2,319,622 1,159,811 3,479,434 1,739,717 5,219,152 2,609,576 1,304,788 652,394 326,197 978,592 489,296 244,648 122,324 61,162 30,581 91,744 45,872 22,936 11,468 5,734 2,867 8,602 4,301 12,904 6,452 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227

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