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Atlas › Integer Profiles › Node 48,681,664

48,681,664

26 × 67 × 11353
Abundant Even Composite

48,681,664 factors as 2^6 × 67 × 11353. Its 28 positive divisors give a proper-divisor sum of 49,371,480, so this integer is abundant. The Collatz stopping time is 336 steps.

Prime Factor Structure

Factorization String 2^6 × 67 × 11353
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 98,053,144
Proper Divisor Sum 49,371,480
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #48681653 ← → #48681673

Radix Representation

Decimal 48681664
Binary 10111001101101001011000000 (26 bits)
Octal 0o271551300
Hexadecimal 0x2E6D2C0

Divisor Catalog (28)

1 2 4 8 16 32 64 67 134 268 536 1,072 2,144 4,288 11,353 22,706 45,412 90,824 181,648 363,296 726,592 760,651 1,521,302 3,042,604 6,085,208 12,170,416 24,340,832 48,681,664

Collatz Trajectory (336 steps to reach 1)

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

48,681,664 24,340,832 12,170,416 6,085,208 3,042,604 1,521,302 760,651 2,281,954 1,140,977 3,422,932 1,711,466 855,733 2,567,200 1,283,600 641,800 320,900 160,450 80,225 240,676 120,338 60,169 180,508 90,254 45,127 135,382 67,691 203,074 101,537 304,612 152,306 76,153 228,460 114,230 57,115 171,346 85,673 257,020 128,510 64,255 192,766 96,383 289,150 144,575 433,726 216,863 650,590 325,295 975,886 487,943 1,463,830 731,915 2,195,746 1,097,873 3,293,620 1,646,810 823,405 2,470,216 1,235,108 617,554 308,777

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