λ
Ratio Atlas

48,736,637

17 × 607 × 4723
Deficient Odd Composite

48,736,637 factors as 17 × 607 × 4723. Its 8 positive divisors give a proper-divisor sum of 2,962,819, so this integer is deficient. The Collatz stopping time is 305 steps.

Prime Factor Structure

Factorization String 17 × 607 × 4723
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 51,699,456
Proper Divisor Sum 2,962,819
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #48736607 ← → #48736651

Radix Representation

Decimal 48736637
Binary 10111001111010100101111101 (26 bits)
Octal 0o271724575
Hexadecimal 0x2E7A97D

Divisor Catalog (8)

Collatz Trajectory (305 steps to reach 1)

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

48,736,637 146,209,912 73,104,956 36,552,478 18,276,239 54,828,718 27,414,359 82,243,078 41,121,539 123,364,618 61,682,309 185,046,928 92,523,464 46,261,732 23,130,866 11,565,433 34,696,300 17,348,150 8,674,075 26,022,226 13,011,113 39,033,340 19,516,670 9,758,335 29,275,006 14,637,503 43,912,510 21,956,255 65,868,766 32,934,383 98,803,150 49,401,575 148,204,726 74,102,363 222,307,090 111,153,545 333,460,636 166,730,318 83,365,159 250,095,478 125,047,739 375,143,218 187,571,609 562,714,828 281,357,414 140,678,707 422,036,122 211,018,061 633,054,184 316,527,092 158,263,546 79,131,773 237,395,320 118,697,660 59,348,830 29,674,415 89,023,246 44,511,623 133,534,870 66,767,435

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