3,777,232

2⁴ × 236077

3,777,232 factors as 2^4 × 236077. Its 10 positive divisors give a proper-divisor sum of 3,541,186, so this integer is deficient. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 2^4 × 236077

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 7,318,418

Proper Divisor Sum 3,541,186

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #3777229 ← → #3777233

Radix Representation

Decimal	3777232
Binary	1110011010001011010000 (22 bits)
Octal	0o16321320
Hexadecimal	0x39A2D0

Divisor Catalog (10)

1 2 4 8 16 236,077 472,154 944,308 1,888,616 3,777,232

Collatz Trajectory (172 steps to reach 1)

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

3,777,232 1,888,616 944,308 472,154 236,077 708,232 354,116 177,058 88,529 265,588 132,794 66,397 199,192 99,596 49,798 24,899 74,698 37,349 112,048 56,024 28,012 14,006 7,003 21,010 10,505 31,516 15,758 7,879 23,638 11,819 35,458 17,729 53,188 26,594 13,297 39,892 19,946 9,973 29,920 14,960 7,480 3,740 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000

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