45,329,900

2² × 5² × 7² × 11 × 29²

45,329,900 factors as 2^2 × 5^2 × 7^2 × 11 × 29^2. Its 162 positive divisors give a proper-divisor sum of 83,950,888, so this integer is abundant. The Collatz stopping time is 204 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 7^2 × 11 × 29^2

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 162

Divisor Sum (σ) 129,280,788

Proper Divisor Sum 83,950,888

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #45329881 ← → #45329909

Radix Representation

Decimal	45329900
Binary	10101100111010110111101100 (26 bits)
Octal	0o254726754
Hexadecimal	0x2B3ADEC

Divisor Catalog (60 of 162)

1 2 4 5 7 10 11 14 20 22 25 28 29 35 44 49 50 55 58 70 77 98 100 110 116 140 145 154 175 196 203 220 245 275 290 308 319 350 385 406 490 539 550 580 638 700 725 770 812 841 980 1,015 1,078 1,100 1,225 1,276 1,421 1,450 1,540 1,595

Collatz Trajectory (204 steps to reach 1)

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

45,329,900 22,664,950 11,332,475 33,997,426 16,998,713 50,996,140 25,498,070 12,749,035 38,247,106 19,123,553 57,370,660 28,685,330 14,342,665 43,027,996 21,513,998 10,756,999 32,270,998 16,135,499 48,406,498 24,203,249 72,609,748 36,304,874 18,152,437 54,457,312 27,228,656 13,614,328 6,807,164 3,403,582 1,701,791 5,105,374 2,552,687 7,658,062 3,829,031 11,487,094 5,743,547 17,230,642 8,615,321 25,845,964 12,922,982 6,461,491 19,384,474 9,692,237 29,076,712 14,538,356 7,269,178 3,634,589 10,903,768 5,451,884 2,725,942 1,362,971 4,088,914 2,044,457 6,133,372 3,066,686 1,533,343 4,600,030 2,300,015 6,900,046 3,450,023 10,350,070

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