λ
Harmonic Matrix

874,476

22 × 34 × 2699
Abundant Even Composite

874,476 has digital root 9. The neighboring primes are 874459 and 874477; its proper-divisor sum differs from the starting integer by 537,948.

Prime Factor Structure

Factorization String 2^2 × 3^4 × 2699
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 2,286,900
Proper Divisor Sum 1,412,424
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #874459 ← → #874477

Radix Representation

Decimal 874476
Binary 11010101011111101100 (20 bits)
Octal 0o3253754
Hexadecimal 0xD57EC

Divisor Catalog (30)

1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 2,699 5,398 8,097 10,796 16,194 24,291 32,388 48,582 72,873 97,164 145,746 218,619 291,492 437,238 874,476

Collatz Trajectory (113 steps to reach 1)

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

874,476 437,238 218,619 655,858 327,929 983,788 491,894 245,947 737,842 368,921 1,106,764 553,382 276,691 830,074 415,037 1,245,112 622,556 311,278 155,639 466,918 233,459 700,378 350,189 1,050,568 525,284 262,642 131,321 393,964 196,982 98,491 295,474 147,737 443,212 221,606 110,803 332,410 166,205 498,616 249,308 124,654 62,327 186,982 93,491 280,474 140,237 420,712 210,356 105,178 52,589 157,768 78,884 39,442 19,721 59,164 29,582 14,791 44,374 22,187 66,562 33,281

More profiles

← Previous Integer #874,475 Browse Full Index Next Integer #874,477 →