λ
Matchaa Zalai

402,961

13 × 139 × 223
Deficient Odd Composite

402,961 factors as 13 × 139 × 223. Its 8 positive divisors give a proper-divisor sum of 36,079, so this integer is deficient. The Collatz stopping time is 68 steps.

Prime Factor Structure

Factorization String 13 × 139 × 223
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 439,040
Proper Divisor Sum 36,079
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #402949 ← → #402991

Radix Representation

Decimal 402961
Binary 1100010011000010001 (19 bits)
Octal 0o1423021
Hexadecimal 0x62611

Divisor Catalog (8)

1 13 139 223 1,807 2,899 30,997 402,961

Collatz Trajectory (68 steps to reach 1)

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

402,961 1,208,884 604,442 302,221 906,664 453,332 226,666 113,333 340,000 170,000 85,000 42,500 21,250 10,625 31,876 15,938 7,969 23,908 11,954 5,977 17,932 8,966 4,483 13,450 6,725 20,176 10,088 5,044 2,522 1,261 3,784 1,892 946 473 1,420 710 355 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13

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