262,822

2 × 7 × 18773

Starting at 262,822, the Collatz iteration reaches 1 after 101 steps. The first transition is 131411; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 18773

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 450,576

Proper Divisor Sum 187,754

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #262819 ← → #262853

Radix Representation

Decimal	262822
Binary	1000000001010100110 (19 bits)
Octal	0o1001246
Hexadecimal	0x402A6

Divisor Catalog (8)

1 2 7 14 18,773 37,546 131,411 262,822

Collatz Trajectory (101 steps to reach 1)

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

262,822 131,411 394,234 197,117 591,352 295,676 147,838 73,919 221,758 110,879 332,638 166,319 498,958 249,479 748,438 374,219 1,122,658 561,329 1,683,988 841,994 420,997 1,262,992 631,496 315,748 157,874 78,937 236,812 118,406 59,203 177,610 88,805 266,416 133,208 66,604 33,302 16,651 49,954 24,977 74,932 37,466 18,733 56,200 28,100 14,050 7,025 21,076 10,538 5,269 15,808 7,904 3,952 1,976 988 494 247 742 371 1,114 557 1,672

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