λ
Harmonic Matrix

2,631,705

3 × 5 × 175447
Deficient Odd Composite

2,631,705 has digital root 6. The neighboring primes are 2631701 and 2631731; its proper-divisor sum differs from the starting integer by -1,052,658.

Prime Factor Structure

Factorization String 3 × 5 × 175447
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,210,752
Proper Divisor Sum 1,579,047
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2631701 ← → #2631731

Radix Representation

Decimal 2631705
Binary 1010000010100000011001 (22 bits)
Octal 0o12024031
Hexadecimal 0x282819

Divisor Catalog (8)

1 3 5 15 175,447 526,341 877,235 2,631,705

Collatz Trajectory (355 steps to reach 1)

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

2,631,705 7,895,116 3,947,558 1,973,779 5,921,338 2,960,669 8,882,008 4,441,004 2,220,502 1,110,251 3,330,754 1,665,377 4,996,132 2,498,066 1,249,033 3,747,100 1,873,550 936,775 2,810,326 1,405,163 4,215,490 2,107,745 6,323,236 3,161,618 1,580,809 4,742,428 2,371,214 1,185,607 3,556,822 1,778,411 5,335,234 2,667,617 8,002,852 4,001,426 2,000,713 6,002,140 3,001,070 1,500,535 4,501,606 2,250,803 6,752,410 3,376,205 10,128,616 5,064,308 2,532,154 1,266,077 3,798,232 1,899,116 949,558 474,779 1,424,338 712,169 2,136,508 1,068,254 534,127 1,602,382 801,191 2,403,574 1,201,787 3,605,362

More profiles

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