4,402,700

2² × 5² × 44027

4,402,700 factors as 2^2 × 5^2 × 44027. Its 18 positive divisors give a proper-divisor sum of 5,151,376, so this integer is abundant. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 44027

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 9,554,076

Proper Divisor Sum 5,151,376

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #4402681 ← → #4402721

Radix Representation

Decimal	4402700
Binary	10000110010111000001100 (23 bits)
Octal	0o20627014
Hexadecimal	0x432E0C

Divisor Catalog (18)

1 2 4 5 10 20 25 50 100 44,027 88,054 176,108 220,135 440,270 880,540 1,100,675 2,201,350 4,402,700

Collatz Trajectory (149 steps to reach 1)

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

4,402,700 2,201,350 1,100,675 3,302,026 1,651,013 4,953,040 2,476,520 1,238,260 619,130 309,565 928,696 464,348 232,174 116,087 348,262 174,131 522,394 261,197 783,592 391,796 195,898 97,949 293,848 146,924 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

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