λ
Harmonic Matrix

1,028,759

709 × 1451
Deficient Odd Composite

1,028,759 has digital root 5. The neighboring primes are 1028749 and 1028761; its proper-divisor sum differs from the starting integer by -1,026,598.

Prime Factor Structure

Factorization String 709 × 1451
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,030,920
Proper Divisor Sum 2,161
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #1028749 ← → #1028761

Radix Representation

Decimal 1028759
Binary 11111011001010010111 (20 bits)
Octal 0o3731227
Hexadecimal 0xFB297

Divisor Catalog (4)

1 709 1,451 1,028,759

Collatz Trajectory (134 steps to reach 1)

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

1,028,759 3,086,278 1,543,139 4,629,418 2,314,709 6,944,128 3,472,064 1,736,032 868,016 434,008 217,004 108,502 54,251 162,754 81,377 244,132 122,066 61,033 183,100 91,550 45,775 137,326 68,663 205,990 102,995 308,986 154,493 463,480 231,740 115,870 57,935 173,806 86,903 260,710 130,355 391,066 195,533 586,600 293,300 146,650 73,325 219,976 109,988 54,994 27,497 82,492 41,246 20,623 61,870 30,935 92,806 46,403 139,210 69,605 208,816 104,408 52,204 26,102 13,051 39,154

More profiles

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