4,177,024

2⁷ × 32633

4,177,024 is even and not a perfect square. Its factorization is 2^7 × 32633 and its 16 divisors sum to 8,321,670.

Prime Factor Structure

Factorization String 2^7 × 32633

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 8,321,670

Proper Divisor Sum 4,144,646

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #4176973 ← → #4177051

Radix Representation

Decimal	4177024
Binary	1111111011110010000000 (22 bits)
Octal	0o17736200
Hexadecimal	0x3FBC80

Divisor Catalog (16)

1 2 4 8 16 32 64 128 32,633 65,266 130,532 261,064 522,128 1,044,256 2,088,512 4,177,024

Collatz Trajectory (167 steps to reach 1)

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

4,177,024 2,088,512 1,044,256 522,128 261,064 130,532 65,266 32,633 97,900 48,950 24,475 73,426 36,713 110,140 55,070 27,535 82,606 41,303 123,910 61,955 185,866 92,933 278,800 139,400 69,700 34,850 17,425 52,276 26,138 13,069 39,208 19,604 9,802 4,901 14,704 7,352 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388 194 97 292 146 73 220 110 55 166 83 250 125

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