λ
Harmonic Matrix

934,525

52 × 29 × 1289
Deficient Odd Composite

934,525 has digital root 1. The neighboring primes are 934523 and 934537; its proper-divisor sum differs from the starting integer by -669,350.

Prime Factor Structure

Factorization String 5^2 × 29 × 1289
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,199,700
Proper Divisor Sum 265,175
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #934523 ← → #934537

Radix Representation

Decimal 934525
Binary 11100100001001111101 (20 bits)
Octal 0o3441175
Hexadecimal 0xE427D

Divisor Catalog (12)

1 5 25 29 145 725 1,289 6,445 32,225 37,381 186,905 934,525

Collatz Trajectory (131 steps to reach 1)

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

934,525 2,803,576 1,401,788 700,894 350,447 1,051,342 525,671 1,577,014 788,507 2,365,522 1,182,761 3,548,284 1,774,142 887,071 2,661,214 1,330,607 3,991,822 1,995,911 5,987,734 2,993,867 8,981,602 4,490,801 13,472,404 6,736,202 3,368,101 10,104,304 5,052,152 2,526,076 1,263,038 631,519 1,894,558 947,279 2,841,838 1,420,919 4,262,758 2,131,379 6,394,138 3,197,069 9,591,208 4,795,604 2,397,802 1,198,901 3,596,704 1,798,352 899,176 449,588 224,794 112,397 337,192 168,596 84,298 42,149 126,448 63,224 31,612 15,806 7,903 23,710 11,855 35,566

More profiles

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