1,649,375

5⁴ × 7 × 13 × 29

1,649,375 is odd and not a perfect square. Its factorization is 5^4 × 7 × 13 × 29 and its 40 divisors sum to 2,624,160.

Prime Factor Structure

Factorization String 5^4 × 7 × 13 × 29

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 2,624,160

Proper Divisor Sum 974,785

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #1649369 ← → #1649377

Radix Representation

Decimal	1649375
Binary	110010010101011011111 (21 bits)
Octal	0o6225337
Hexadecimal	0x192ADF

Divisor Catalog (40)

1 5 7 13 25 29 35 65 91 125 145 175 203 325 377 455 625 725 875 1,015 1,625 1,885 2,275 2,639 3,625 4,375 5,075 8,125 9,425 11,375 13,195 18,125 25,375 47,125 56,875 65,975 126,875 235,625 329,875 1,649,375

Collatz Trajectory (176 steps to reach 1)

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

1,649,375 4,948,126 2,474,063 7,422,190 3,711,095 11,133,286 5,566,643 16,699,930 8,349,965 25,049,896 12,524,948 6,262,474 3,131,237 9,393,712 4,696,856 2,348,428 1,174,214 587,107 1,761,322 880,661 2,641,984 1,320,992 660,496 330,248 165,124 82,562 41,281 123,844 61,922 30,961 92,884 46,442 23,221 69,664 34,832 17,416 8,708 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388 194 97 292

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