48,282,962

2 × 7 × 13² × 20407

48,282,962 factors as 2 × 7 × 13^2 × 20407. Its 24 positive divisors give a proper-divisor sum of 41,348,974, so this integer is deficient. The Collatz stopping time is 230 steps.

Prime Factor Structure

Factorization String 2 × 7 × 13^2 × 20407

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 89,631,936

Proper Divisor Sum 41,348,974

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #48282961 ← → #48282973

Radix Representation

Decimal	48282962
Binary	10111000001011110101010010 (26 bits)
Octal	0o270136522
Hexadecimal	0x2E0BD52

Divisor Catalog (24)

Collatz Trajectory (230 steps to reach 1)

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

48,282,962 24,141,481 72,424,444 36,212,222 18,106,111 54,318,334 27,159,167 81,477,502 40,738,751 122,216,254 61,108,127 183,324,382 91,662,191 274,986,574 137,493,287 412,479,862 206,239,931 618,719,794 309,359,897 928,079,692 464,039,846 232,019,923 696,059,770 348,029,885 1,044,089,656 522,044,828 261,022,414 130,511,207 391,533,622 195,766,811 587,300,434 293,650,217 880,950,652 440,475,326 220,237,663 660,712,990 330,356,495 991,069,486 495,534,743 1,486,604,230 743,302,115 2,229,906,346 1,114,953,173 3,344,859,520 1,672,429,760 836,214,880 418,107,440 209,053,720 104,526,860 52,263,430 26,131,715 78,395,146 39,197,573 117,592,720 58,796,360 29,398,180 14,699,090 7,349,545 22,048,636 11,024,318

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