λ
Harmonic Matrix

1,258,628

22 × 7 × 79 × 569
Abundant Even Composite

1,258,628 has digital root 5. The neighboring primes are 1258627 and 1258637; its proper-divisor sum differs from the starting integer by 36,344.

Prime Factor Structure

Factorization String 2^2 × 7 × 79 × 569
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,553,600
Proper Divisor Sum 1,294,972
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #1258627 ← → #1258637

Radix Representation

Decimal 1258628
Binary 100110011010010000100 (21 bits)
Octal 0o4632204
Hexadecimal 0x133484

Divisor Catalog (24)

1 2 4 7 14 28 79 158 316 553 569 1,106 1,138 2,212 2,276 3,983 7,966 15,932 44,951 89,902 179,804 314,657 629,314 1,258,628

Collatz Trajectory (54 steps to reach 1)

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

1,258,628 629,314 314,657 943,972 471,986 235,993 707,980 353,990 176,995 530,986 265,493 796,480 398,240 199,120 99,560 49,780 24,890 12,445 37,336 18,668 9,334 4,667 14,002 7,001 21,004 10,502 5,251 15,754 7,877 23,632 11,816 5,908 2,954 1,477 4,432 2,216 1,108 554 277 832 416 208 104 52 26 13 40 20 10 5 16 8 4 2 1

More profiles

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