λ
Harmonic Matrix

2,705,617

2705617
Deficient Odd Prime

2,705,617 has digital root 1. The neighboring primes are 2705569 and 2705623; its proper-divisor sum differs from the starting integer by -2,705,616.

Prime Factor Structure

Factorization String 2705617
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,705,618
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2705569 ← → #2705623

Radix Representation

Decimal 2705617
Binary 1010010100100011010001 (22 bits)
Octal 0o12244321
Hexadecimal 0x2948D1

Divisor Catalog (2)

Collatz Trajectory (68 steps to reach 1)

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

2,705,617 8,116,852 4,058,426 2,029,213 6,087,640 3,043,820 1,521,910 760,955 2,282,866 1,141,433 3,424,300 1,712,150 856,075 2,568,226 1,284,113 3,852,340 1,926,170 963,085 2,889,256 1,444,628 722,314 361,157 1,083,472 541,736 270,868 135,434 67,717 203,152 101,576 50,788 25,394 12,697 38,092 19,046 9,523 28,570 14,285 42,856 21,428 10,714 5,357 16,072 8,036 4,018 2,009 6,028 3,014 1,507 4,522 2,261 6,784 3,392 1,696 848 424 212 106 53 160 80

More profiles

← Previous Integer #2,705,616 Browse Full Index Next Integer #2,705,618 →