407,654

2 × 13 × 15679

407,654 factors as 2 × 13 × 15679. Its 8 positive divisors give a proper-divisor sum of 250,906, so this integer is deficient. The Collatz stopping time is 205 steps.

Prime Factor Structure

Factorization String 2 × 13 × 15679

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 658,560

Proper Divisor Sum 250,906

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #407651 ← → #407657

Radix Representation

Decimal	407654
Binary	1100011100001100110 (19 bits)
Octal	0o1434146
Hexadecimal	0x63866

Divisor Catalog (8)

1 2 13 26 15,679 31,358 203,827 407,654

Collatz Trajectory (205 steps to reach 1)

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

407,654 203,827 611,482 305,741 917,224 458,612 229,306 114,653 343,960 171,980 85,990 42,995 128,986 64,493 193,480 96,740 48,370 24,185 72,556 36,278 18,139 54,418 27,209 81,628 40,814 20,407 61,222 30,611 91,834 45,917 137,752 68,876 34,438 17,219 51,658 25,829 77,488 38,744 19,372 9,686 4,843 14,530 7,265 21,796 10,898 5,449 16,348 8,174 4,087 12,262 6,131 18,394 9,197 27,592 13,796 6,898 3,449 10,348 5,174 2,587

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