4,198,009

337 × 12457

4,198,009 has digital root 4. The neighboring primes are 4198003 and 4198013; its proper-divisor sum differs from the starting integer by -4,185,214.

Prime Factor Structure

Factorization String 337 × 12457

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 4,210,804

Proper Divisor Sum 12,795

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #4198003 ← → #4198013

Radix Representation

Decimal	4198009
Binary	10000000000111001111001 (23 bits)
Octal	0o20007171
Hexadecimal	0x400E79

Divisor Catalog (4)

1 337 12,457 4,198,009

Collatz Trajectory (154 steps to reach 1)

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

4,198,009 12,594,028 6,297,014 3,148,507 9,445,522 4,722,761 14,168,284 7,084,142 3,542,071 10,626,214 5,313,107 15,939,322 7,969,661 23,908,984 11,954,492 5,977,246 2,988,623 8,965,870 4,482,935 13,448,806 6,724,403 20,173,210 10,086,605 30,259,816 15,129,908 7,564,954 3,782,477 11,347,432 5,673,716 2,836,858 1,418,429 4,255,288 2,127,644 1,063,822 531,911 1,595,734 797,867 2,393,602 1,196,801 3,590,404 1,795,202 897,601 2,692,804 1,346,402 673,201 2,019,604 1,009,802 504,901 1,514,704 757,352 378,676 189,338 94,669 284,008 142,004 71,002 35,501 106,504 53,252 26,626

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