λ
Harmonic Matrix

5,764,152

23 × 3 × 240173
Abundant Even Composite

5,764,152 has digital root 3. The neighboring primes are 5764151 and 5764217; its proper-divisor sum differs from the starting integer by 2,882,136.

Prime Factor Structure

Factorization String 2^3 × 3 × 240173
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 14,410,440
Proper Divisor Sum 8,646,288
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #5764151 ← → #5764217

Radix Representation

Decimal 5764152
Binary 10101111111010000111000 (23 bits)
Octal 0o25772070
Hexadecimal 0x57F438

Divisor Catalog (16)

1 2 3 4 6 8 12 24 240,173 480,346 720,519 960,692 1,441,038 1,921,384 2,882,076 5,764,152

Collatz Trajectory (201 steps to reach 1)

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

5,764,152 2,882,076 1,441,038 720,519 2,161,558 1,080,779 3,242,338 1,621,169 4,863,508 2,431,754 1,215,877 3,647,632 1,823,816 911,908 455,954 227,977 683,932 341,966 170,983 512,950 256,475 769,426 384,713 1,154,140 577,070 288,535 865,606 432,803 1,298,410 649,205 1,947,616 973,808 486,904 243,452 121,726 60,863 182,590 91,295 273,886 136,943 410,830 205,415 616,246 308,123 924,370 462,185 1,386,556 693,278 346,639 1,039,918 519,959 1,559,878 779,939 2,339,818 1,169,909 3,509,728 1,754,864 877,432 438,716 219,358

More profiles

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