417,323

37 × 11279

Starting at 417,323, the Collatz iteration reaches 1 after 86 steps. The first transition is 1251970; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 37 × 11279

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 428,640

Proper Divisor Sum 11,317

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #417317 ← → #417331

Radix Representation

Decimal	417323
Binary	1100101111000101011 (19 bits)
Octal	0o1457053
Hexadecimal	0x65E2B

Divisor Catalog (4)

1 37 11,279 417,323

Collatz Trajectory (86 steps to reach 1)

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

417,323 1,251,970 625,985 1,877,956 938,978 469,489 1,408,468 704,234 352,117 1,056,352 528,176 264,088 132,044 66,022 33,011 99,034 49,517 148,552 74,276 37,138 18,569 55,708 27,854 13,927 41,782 20,891 62,674 31,337 94,012 47,006 23,503 70,510 35,255 105,766 52,883 158,650 79,325 237,976 118,988 59,494 29,747 89,242 44,621 133,864 66,932 33,466 16,733 50,200 25,100 12,550 6,275 18,826 9,413 28,240 14,120 7,060 3,530 1,765 5,296 2,648

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