472,094

2 × 7 × 33721

472,094 has digital root 8. The neighboring primes are 472067 and 472103; its proper-divisor sum differs from the starting integer by -134,860.

Prime Factor Structure

Factorization String 2 × 7 × 33721

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 809,328

Proper Divisor Sum 337,234

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #472067 ← → #472103

Radix Representation

Decimal	472094
Binary	1110011010000011110 (19 bits)
Octal	0o1632036
Hexadecimal	0x7341E

Divisor Catalog (8)

1 2 7 14 33,721 67,442 236,047 472,094

Collatz Trajectory (244 steps to reach 1)

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

472,094 236,047 708,142 354,071 1,062,214 531,107 1,593,322 796,661 2,389,984 1,194,992 597,496 298,748 149,374 74,687 224,062 112,031 336,094 168,047 504,142 252,071 756,214 378,107 1,134,322 567,161 1,701,484 850,742 425,371 1,276,114 638,057 1,914,172 957,086 478,543 1,435,630 717,815 2,153,446 1,076,723 3,230,170 1,615,085 4,845,256 2,422,628 1,211,314 605,657 1,816,972 908,486 454,243 1,362,730 681,365 2,044,096 1,022,048 511,024 255,512 127,756 63,878 31,939 95,818 47,909 143,728 71,864 35,932 17,966

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