λ
Harmonic Matrix

1,098,775

52 × 43951
Deficient Odd Composite

1,098,775 has digital root 1. The neighboring primes are 1098737 and 1098787; its proper-divisor sum differs from the starting integer by -835,038.

Prime Factor Structure

Factorization String 5^2 × 43951
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 1,362,512
Proper Divisor Sum 263,737
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #1098737 ← → #1098787

Radix Representation

Decimal 1098775
Binary 100001100010000010111 (21 bits)
Octal 0o4142027
Hexadecimal 0x10C417

Divisor Catalog (6)

1 5 25 43,951 219,755 1,098,775

Collatz Trajectory (116 steps to reach 1)

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

1,098,775 3,296,326 1,648,163 4,944,490 2,472,245 7,416,736 3,708,368 1,854,184 927,092 463,546 231,773 695,320 347,660 173,830 86,915 260,746 130,373 391,120 195,560 97,780 48,890 24,445 73,336 36,668 18,334 9,167 27,502 13,751 41,254 20,627 61,882 30,941 92,824 46,412 23,206 11,603 34,810 17,405 52,216 26,108 13,054 6,527 19,582 9,791 29,374 14,687 44,062 22,031 66,094 33,047 99,142 49,571 148,714 74,357 223,072 111,536 55,768 27,884 13,942 6,971

More profiles

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