λ
Harmonic Matrix

5,656,249

281 × 20129
Deficient Odd Composite

5,656,249 has digital root 1. The neighboring primes are 5656193 and 5656253; its proper-divisor sum differs from the starting integer by -5,635,838.

Prime Factor Structure

Factorization String 281 × 20129
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,676,660
Proper Divisor Sum 20,411
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #5656193 ← → #5656253

Radix Representation

Decimal 5656249
Binary 10101100100111010111001 (23 bits)
Octal 0o25447271
Hexadecimal 0x564EB9

Divisor Catalog (4)

1 281 20,129 5,656,249

Collatz Trajectory (108 steps to reach 1)

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

5,656,249 16,968,748 8,484,374 4,242,187 12,726,562 6,363,281 19,089,844 9,544,922 4,772,461 14,317,384 7,158,692 3,579,346 1,789,673 5,369,020 2,684,510 1,342,255 4,026,766 2,013,383 6,040,150 3,020,075 9,060,226 4,530,113 13,590,340 6,795,170 3,397,585 10,192,756 5,096,378 2,548,189 7,644,568 3,822,284 1,911,142 955,571 2,866,714 1,433,357 4,300,072 2,150,036 1,075,018 537,509 1,612,528 806,264 403,132 201,566 100,783 302,350 151,175 453,526 226,763 680,290 340,145 1,020,436 510,218 255,109 765,328 382,664 191,332 95,666 47,833 143,500 71,750 35,875

More profiles

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