λ
Harmonic Matrix

1,135,637

61 × 18617
Deficient Odd Composite

1,135,637 has digital root 8. The neighboring primes are 1135633 and 1135643; its proper-divisor sum differs from the starting integer by -1,116,958.

Prime Factor Structure

Factorization String 61 × 18617
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,154,316
Proper Divisor Sum 18,679
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #1135633 ← → #1135643

Radix Representation

Decimal 1135637
Binary 100010101010000010101 (21 bits)
Octal 0o4252025
Hexadecimal 0x115415

Divisor Catalog (4)

1 61 18,617 1,135,637

Collatz Trajectory (85 steps to reach 1)

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

1,135,637 3,406,912 1,703,456 851,728 425,864 212,932 106,466 53,233 159,700 79,850 39,925 119,776 59,888 29,944 14,972 7,486 3,743 11,230 5,615 16,846 8,423 25,270 12,635 37,906 18,953 56,860 28,430 14,215 42,646 21,323 63,970 31,985 95,956 47,978 23,989 71,968 35,984 17,992 8,996 4,498 2,249 6,748 3,374 1,687 5,062 2,531 7,594 3,797 11,392 5,696 2,848 1,424 712 356 178 89 268 134 67 202

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