λ
Ratio Atlas
Atlas › Integer Profiles › Node 49,095,904

49,095,904

25 × 11 × 13 × 10729
Abundant Even Composite

49,095,904 factors as 2^5 × 11 × 13 × 10729. Its 48 positive divisors give a proper-divisor sum of 64,470,416, so this integer is abundant. The Collatz stopping time is 230 steps.

Prime Factor Structure

Factorization String 2^5 × 11 × 13 × 10729
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 113,566,320
Proper Divisor Sum 64,470,416
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #49095899 ← → #49095913

Radix Representation

Decimal 49095904
Binary 10111011010010010011100000 (26 bits)
Octal 0o273222340
Hexadecimal 0x2ED24E0

Divisor Catalog (48)

1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 286 352 416 572 1,144 2,288 4,576 10,729 21,458 42,916 85,832 118,019 139,477 171,664 236,038 278,954 343,328 472,076 557,908 944,152 1,115,816 1,534,247 1,888,304 2,231,632 3,068,494 3,776,608 4,463,264 6,136,988 12,273,976 24,547,952 49,095,904

Collatz Trajectory (230 steps to reach 1)

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

49,095,904 24,547,952 12,273,976 6,136,988 3,068,494 1,534,247 4,602,742 2,301,371 6,904,114 3,452,057 10,356,172 5,178,086 2,589,043 7,767,130 3,883,565 11,650,696 5,825,348 2,912,674 1,456,337 4,369,012 2,184,506 1,092,253 3,276,760 1,638,380 819,190 409,595 1,228,786 614,393 1,843,180 921,590 460,795 1,382,386 691,193 2,073,580 1,036,790 518,395 1,555,186 777,593 2,332,780 1,166,390 583,195 1,749,586 874,793 2,624,380 1,312,190 656,095 1,968,286 984,143 2,952,430 1,476,215 4,428,646 2,214,323 6,642,970 3,321,485 9,964,456 4,982,228 2,491,114 1,245,557 3,736,672 1,868,336

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #49,095,903 Browse Full Index Next Integer #49,095,905 →