λ
Ratio Atlas

48,201,215

5 × 23 × 419141
Deficient Odd Composite

48,201,215 factors as 5 × 23 × 419141. Its 8 positive divisors give a proper-divisor sum of 12,155,233, so this integer is deficient. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 5 × 23 × 419141
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 60,356,448
Proper Divisor Sum 12,155,233
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #48201211 ← → #48201229

Radix Representation

Decimal 48201215
Binary 10110111110111110111111111 (26 bits)
Octal 0o267676777
Hexadecimal 0x2DF7DFF

Divisor Catalog (8)

Collatz Trajectory (168 steps to reach 1)

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

48,201,215 144,603,646 72,301,823 216,905,470 108,452,735 325,358,206 162,679,103 488,037,310 244,018,655 732,055,966 366,027,983 1,098,083,950 549,041,975 1,647,125,926 823,562,963 2,470,688,890 1,235,344,445 3,706,033,336 1,853,016,668 926,508,334 463,254,167 1,389,762,502 694,881,251 2,084,643,754 1,042,321,877 3,126,965,632 1,563,482,816 781,741,408 390,870,704 195,435,352 97,717,676 48,858,838 24,429,419 73,288,258 36,644,129 109,932,388 54,966,194 27,483,097 82,449,292 41,224,646 20,612,323 61,836,970 30,918,485 92,755,456 46,377,728 23,188,864 11,594,432 5,797,216 2,898,608 1,449,304 724,652 362,326 181,163 543,490 271,745 815,236 407,618 203,809 611,428 305,714

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