λ
Harmonic Matrix

401,681

7 × 57383
Deficient Odd Composite

401,681 has digital root 2. The neighboring primes are 401671 and 401689; its proper-divisor sum differs from the starting integer by -344,290.

Prime Factor Structure

Factorization String 7 × 57383
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 459,072
Proper Divisor Sum 57,391
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #401671 ← → #401689

Radix Representation

Decimal 401681
Binary 1100010000100010001 (19 bits)
Octal 0o1420421
Hexadecimal 0x62111

Divisor Catalog (4)

1 7 57,383 401,681

Collatz Trajectory (161 steps to reach 1)

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

401,681 1,205,044 602,522 301,261 903,784 451,892 225,946 112,973 338,920 169,460 84,730 42,365 127,096 63,548 31,774 15,887 47,662 23,831 71,494 35,747 107,242 53,621 160,864 80,432 40,216 20,108 10,054 5,027 15,082 7,541 22,624 11,312 5,656 2,828 1,414 707 2,122 1,061 3,184 1,592 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430

More profiles

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