λ
Harmonic Matrix

4,236,207

3 × 163 × 8663
Deficient Odd Composite

4,236,207 has digital root 6. The neighboring primes are 4236203 and 4236269; its proper-divisor sum differs from the starting integer by -2,788,830.

Prime Factor Structure

Factorization String 3 × 163 × 8663
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,683,584
Proper Divisor Sum 1,447,377
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4236203 ← → #4236269

Radix Representation

Decimal 4236207
Binary 10000001010001110101111 (23 bits)
Octal 0o20121657
Hexadecimal 0x40A3AF

Divisor Catalog (8)

1 3 163 489 8,663 25,989 1,412,069 4,236,207

Collatz Trajectory (198 steps to reach 1)

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

4,236,207 12,708,622 6,354,311 19,062,934 9,531,467 28,594,402 14,297,201 42,891,604 21,445,802 10,722,901 32,168,704 16,084,352 8,042,176 4,021,088 2,010,544 1,005,272 502,636 251,318 125,659 376,978 188,489 565,468 282,734 141,367 424,102 212,051 636,154 318,077 954,232 477,116 238,558 119,279 357,838 178,919 536,758 268,379 805,138 402,569 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

More profiles

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