80,901,828

2² × 3⁴ × 7 × 35671

80,901,828 factors as 2^2 × 3^4 × 7 × 35671. Its 60 positive divisors give a proper-divisor sum of 160,811,644, so this integer is abundant. The Collatz stopping time is 223 steps.

Prime Factor Structure

Factorization String 2^2 × 3^4 × 7 × 35671

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 241,713,472

Proper Divisor Sum 160,811,644

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #80901817 ← → #80901859

Radix Representation

Decimal	80901828
Binary	100110100100111011011000100 (27 bits)
Octal	0o464473304
Hexadecimal	0x4D276C4

Divisor Catalog (60)

1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1,134 2,268 35,671 71,342 107,013 142,684 214,026 249,697 321,039 428,052 499,394 642,078 749,091 963,117 998,788 1,284,156 1,498,182 1,926,234 2,247,273 2,889,351 2,996,364 3,852,468 4,494,546 5,778,702 6,741,819 8,989,092 11,557,404 13,483,638 20,225,457 26,967,276 40,450,914 80,901,828

Collatz Trajectory (223 steps to reach 1)

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

80,901,828 40,450,914 20,225,457 60,676,372 30,338,186 15,169,093 45,507,280 22,753,640 11,376,820 5,688,410 2,844,205 8,532,616 4,266,308 2,133,154 1,066,577 3,199,732 1,599,866 799,933 2,399,800 1,199,900 599,950 299,975 899,926 449,963 1,349,890 674,945 2,024,836 1,012,418 506,209 1,518,628 759,314 379,657 1,138,972 569,486 284,743 854,230 427,115 1,281,346 640,673 1,922,020 961,010 480,505 1,441,516 720,758 360,379 1,081,138 540,569 1,621,708 810,854 405,427 1,216,282 608,141 1,824,424 912,212 456,106 228,053 684,160 342,080 171,040 85,520

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