λ
Harmonic Matrix

1,764,775

52 × 73 × 967
Deficient Odd Composite

1,764,775 has digital root 1. The neighboring primes are 1764757 and 1764779; its proper-divisor sum differs from the starting integer by -1,308,958.

Prime Factor Structure

Factorization String 5^2 × 73 × 967
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,220,592
Proper Divisor Sum 455,817
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #1764757 ← → #1764779

Radix Representation

Decimal 1764775
Binary 110101110110110100111 (21 bits)
Octal 0o6566647
Hexadecimal 0x1AEDA7

Divisor Catalog (12)

1 5 25 73 365 967 1,825 4,835 24,175 70,591 352,955 1,764,775

Collatz Trajectory (127 steps to reach 1)

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

1,764,775 5,294,326 2,647,163 7,941,490 3,970,745 11,912,236 5,956,118 2,978,059 8,934,178 4,467,089 13,401,268 6,700,634 3,350,317 10,050,952 5,025,476 2,512,738 1,256,369 3,769,108 1,884,554 942,277 2,826,832 1,413,416 706,708 353,354 176,677 530,032 265,016 132,508 66,254 33,127 99,382 49,691 149,074 74,537 223,612 111,806 55,903 167,710 83,855 251,566 125,783 377,350 188,675 566,026 283,013 849,040 424,520 212,260 106,130 53,065 159,196 79,598 39,799 119,398 59,699 179,098 89,549 268,648 134,324 67,162

More profiles

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