48,730,941

3² × 7² × 110501

48,730,941 factors as 3^2 × 7^2 × 110501. Its 18 positive divisors give a proper-divisor sum of 33,151,041, so this integer is deficient. The Collatz stopping time is 230 steps.

Prime Factor Structure

Factorization String 3^2 × 7^2 × 110501

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 81,881,982

Proper Divisor Sum 33,151,041

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #48730939 ← → #48730943

Radix Representation

Decimal	48730941
Binary	10111001111001001100111101 (26 bits)
Octal	0o271711475
Hexadecimal	0x2E7933D

Divisor Catalog (18)

1 3 7 9 21 49 63 147 441 110,501 331,503 773,507 994,509 2,320,521 5,414,549 6,961,563 16,243,647 48,730,941

Collatz Trajectory (230 steps to reach 1)

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

48,730,941 146,192,824 73,096,412 36,548,206 18,274,103 54,822,310 27,411,155 82,233,466 41,116,733 123,350,200 61,675,100 30,837,550 15,418,775 46,256,326 23,128,163 69,384,490 34,692,245 104,076,736 52,038,368 26,019,184 13,009,592 6,504,796 3,252,398 1,626,199 4,878,598 2,439,299 7,317,898 3,658,949 10,976,848 5,488,424 2,744,212 1,372,106 686,053 2,058,160 1,029,080 514,540 257,270 128,635 385,906 192,953 578,860 289,430 144,715 434,146 217,073 651,220 325,610 162,805 488,416 244,208 122,104 61,052 30,526 15,263 45,790 22,895 68,686 34,343 103,030 51,515

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