λ
Harmonic Matrix

3,574,292

22 × 23 × 38851
Deficient Even Composite

3,574,292 has digital root 5. The neighboring primes are 3574253 and 3574297; its proper-divisor sum differs from the starting integer by -621,448.

Prime Factor Structure

Factorization String 2^2 × 23 × 38851
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,527,136
Proper Divisor Sum 2,952,844
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3574253 ← → #3574297

Radix Representation

Decimal 3574292
Binary 1101101000101000010100 (22 bits)
Octal 0o15505024
Hexadecimal 0x368A14

Divisor Catalog (12)

1 2 4 23 46 92 38,851 77,702 155,404 893,573 1,787,146 3,574,292

Collatz Trajectory (190 steps to reach 1)

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

3,574,292 1,787,146 893,573 2,680,720 1,340,360 670,180 335,090 167,545 502,636 251,318 125,659 376,978 188,489 565,468 282,734 141,367 424,102 212,051 636,154 318,077 954,232 477,116 238,558 119,279 357,838 178,919 536,758 268,379 805,138 402,569 1,207,708 603,854 301,927 905,782 452,891 1,358,674 679,337 2,038,012 1,019,006 509,503 1,528,510 764,255 2,292,766 1,146,383 3,439,150 1,719,575 5,158,726 2,579,363 7,738,090 3,869,045 11,607,136 5,803,568 2,901,784 1,450,892 725,446 362,723 1,088,170 544,085 1,632,256 816,128

More profiles

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