λ
Harmonic Matrix

2,645,272

23 × 7 × 47237
Abundant Even Composite

2,645,272 has digital root 1. The neighboring primes are 2645267 and 2645297; its proper-divisor sum differs from the starting integer by 378,016.

Prime Factor Structure

Factorization String 2^3 × 7 × 47237
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,668,560
Proper Divisor Sum 3,023,288
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2645267 ← → #2645297

Radix Representation

Decimal 2645272
Binary 1010000101110100011000 (22 bits)
Octal 0o12056430
Hexadecimal 0x285D18

Divisor Catalog (16)

1 2 4 7 8 14 28 56 47,237 94,474 188,948 330,659 377,896 661,318 1,322,636 2,645,272

Collatz Trajectory (187 steps to reach 1)

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

2,645,272 1,322,636 661,318 330,659 991,978 495,989 1,487,968 743,984 371,992 185,996 92,998 46,499 139,498 69,749 209,248 104,624 52,312 26,156 13,078 6,539 19,618 9,809 29,428 14,714 7,357 22,072 11,036 5,518 2,759 8,278 4,139 12,418 6,209 18,628 9,314 4,657 13,972 6,986 3,493 10,480 5,240 2,620 1,310 655 1,966 983 2,950 1,475 4,426 2,213 6,640 3,320 1,660 830 415 1,246 623 1,870 935 2,806

More profiles

← Previous Integer #2,645,271 Browse Full Index Next Integer #2,645,273 →