λ
Harmonic Matrix

671,689

359 × 1871
Deficient Odd Composite

671,689 has digital root 1. The neighboring primes are 671681 and 671701; its proper-divisor sum differs from the starting integer by -669,458.

Prime Factor Structure

Factorization String 359 × 1871
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 673,920
Proper Divisor Sum 2,231
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #671681 ← → #671701

Radix Representation

Decimal 671689
Binary 10100011111111001001 (20 bits)
Octal 0o2437711
Hexadecimal 0xA3FC9

Divisor Catalog (4)

1 359 1,871 671,689

Collatz Trajectory (136 steps to reach 1)

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

671,689 2,015,068 1,007,534 503,767 1,511,302 755,651 2,266,954 1,133,477 3,400,432 1,700,216 850,108 425,054 212,527 637,582 318,791 956,374 478,187 1,434,562 717,281 2,151,844 1,075,922 537,961 1,613,884 806,942 403,471 1,210,414 605,207 1,815,622 907,811 2,723,434 1,361,717 4,085,152 2,042,576 1,021,288 510,644 255,322 127,661 382,984 191,492 95,746 47,873 143,620 71,810 35,905 107,716 53,858 26,929 80,788 40,394 20,197 60,592 30,296 15,148 7,574 3,787 11,362 5,681 17,044 8,522 4,261

More profiles

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