417,628

2² × 131 × 797

417,628 has digital root 1. The neighboring primes are 417623 and 417631; its proper-divisor sum differs from the starting integer by -97,904.

Prime Factor Structure

Factorization String 2^2 × 131 × 797

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 737,352

Proper Divisor Sum 319,724

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #417623 ← → #417631

Radix Representation

Decimal	417628
Binary	1100101111101011100 (19 bits)
Octal	0o1457534
Hexadecimal	0x65F5C

Divisor Catalog (12)

1 2 4 131 262 524 797 1,594 3,188 104,407 208,814 417,628

Collatz Trajectory (55 steps to reach 1)

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

417,628 208,814 104,407 313,222 156,611 469,834 234,917 704,752 352,376 176,188 88,094 44,047 132,142 66,071 198,214 99,107 297,322 148,661 445,984 222,992 111,496 55,748 27,874 13,937 41,812 20,906 10,453 31,360 15,680 7,840 3,920 1,960 980 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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