λ
Ratio Atlas

45,246,747

3 × 72 × 13 × 23677
Deficient Odd Composite

45,246,747 factors as 3 × 7^2 × 13 × 23677. Its 24 positive divisors give a proper-divisor sum of 30,333,429, so this integer is deficient. The Collatz stopping time is 235 steps.

Prime Factor Structure

Factorization String 3 × 7^2 × 13 × 23677
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 75,580,176
Proper Divisor Sum 30,333,429
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #45246743 ← → #45246749

Radix Representation

Decimal 45246747
Binary 10101100100110100100011011 (26 bits)
Octal 0o254464433
Hexadecimal 0x2B2691B

Divisor Catalog (24)

Collatz Trajectory (235 steps to reach 1)

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

45,246,747 135,740,242 67,870,121 203,610,364 101,805,182 50,902,591 152,707,774 76,353,887 229,061,662 114,530,831 343,592,494 171,796,247 515,388,742 257,694,371 773,083,114 386,541,557 1,159,624,672 579,812,336 289,906,168 144,953,084 72,476,542 36,238,271 108,714,814 54,357,407 163,072,222 81,536,111 244,608,334 122,304,167 366,912,502 183,456,251 550,368,754 275,184,377 825,553,132 412,776,566 206,388,283 619,164,850 309,582,425 928,747,276 464,373,638 232,186,819 696,560,458 348,280,229 1,044,840,688 522,420,344 261,210,172 130,605,086 65,302,543 195,907,630 97,953,815 293,861,446 146,930,723 440,792,170 220,396,085 661,188,256 330,594,128 165,297,064 82,648,532 41,324,266 20,662,133 61,986,400

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