2,201,332

2² × 7 × 29 × 2711

2,201,332 factors as 2^2 × 7 × 29 × 2711. Its 24 positive divisors give a proper-divisor sum of 2,354,828, so this integer is abundant. The Collatz stopping time is 148 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 29 × 2711

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 4,556,160

Proper Divisor Sum 2,354,828

Digit Sum / Digital Root 13 (Root: 4)

Adjacent Primes #2201327 ← → #2201357

Radix Representation

Decimal	2201332
Binary	1000011001011011110100 (22 bits)
Octal	0o10313364
Hexadecimal	0x2196F4

Divisor Catalog (24)

Collatz Trajectory (148 steps to reach 1)

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

2,201,332 1,100,666 550,333 1,651,000 825,500 412,750 206,375 619,126 309,563 928,690 464,345 1,393,036 696,518 348,259 1,044,778 522,389 1,567,168 783,584 391,792 195,896 97,948 48,974 24,487 73,462 36,731 110,194 55,097 165,292 82,646 41,323 123,970 61,985 185,956 92,978 46,489 139,468 69,734 34,867 104,602 52,301 156,904 78,452 39,226 19,613 58,840 29,420 14,710 7,355 22,066 11,033 33,100 16,550 8,275 24,826 12,413 37,240 18,620 9,310 4,655 13,966

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