407,677

17 × 23981

407,677 factors as 17 × 23981. Its 4 positive divisors give a proper-divisor sum of 23,999, so this integer is deficient. The Collatz stopping time is 205 steps.

Prime Factor Structure

Factorization String 17 × 23981

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 431,676

Proper Divisor Sum 23,999

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #407669 ← → #407699

Radix Representation

Decimal	407677
Binary	1100011100001111101 (19 bits)
Octal	0o1434175
Hexadecimal	0x6387D

Divisor Catalog (4)

1 17 23,981 407,677

Collatz Trajectory (205 steps to reach 1)

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

407,677 1,223,032 611,516 305,758 152,879 458,638 229,319 687,958 343,979 1,031,938 515,969 1,547,908 773,954 386,977 1,160,932 580,466 290,233 870,700 435,350 217,675 653,026 326,513 979,540 489,770 244,885 734,656 367,328 183,664 91,832 45,916 22,958 11,479 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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