λ
Harmonic Matrix

2,573,167

59 × 43613
Deficient Odd Composite

2,573,167 has digital root 4. The neighboring primes are 2573161 and 2573209; its proper-divisor sum differs from the starting integer by -2,529,494.

Prime Factor Structure

Factorization String 59 × 43613
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,616,840
Proper Divisor Sum 43,673
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2573161 ← → #2573209

Radix Representation

Decimal 2573167
Binary 1001110100001101101111 (22 bits)
Octal 0o11641557
Hexadecimal 0x27436F

Divisor Catalog (4)

1 59 43,613 2,573,167

Collatz Trajectory (125 steps to reach 1)

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

2,573,167 7,719,502 3,859,751 11,579,254 5,789,627 17,368,882 8,684,441 26,053,324 13,026,662 6,513,331 19,539,994 9,769,997 29,309,992 14,654,996 7,327,498 3,663,749 10,991,248 5,495,624 2,747,812 1,373,906 686,953 2,060,860 1,030,430 515,215 1,545,646 772,823 2,318,470 1,159,235 3,477,706 1,738,853 5,216,560 2,608,280 1,304,140 652,070 326,035 978,106 489,053 1,467,160 733,580 366,790 183,395 550,186 275,093 825,280 412,640 206,320 103,160 51,580 25,790 12,895 38,686 19,343 58,030 29,015 87,046 43,523 130,570 65,285 195,856 97,928

More profiles

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