λ
Ratio Atlas
Atlas › Integer Profiles › Node 50,004,624

50,004,624

24 × 3 × 59 × 17657
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3 × 59 × 17657
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 131,375,520
Proper Divisor Sum 81,370,896
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #50004623 ← → #50004641

Radix Representation

Decimal 50004624
Binary 10111110110000001010010000 (26 bits)
Octal 0o276601220
Hexadecimal 0x2FB0290

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 48 59 118 177 236 354 472 708 944 1,416 2,832 17,657 35,314 52,971 70,628 105,942 141,256 211,884 282,512 423,768 847,536 1,041,763 2,083,526 3,125,289 4,167,052 6,250,578 8,334,104 12,501,156 16,668,208 25,002,312 50,004,624

Collatz Trajectory (106 steps to reach 1)

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

50,004,624 25,002,312 12,501,156 6,250,578 3,125,289 9,375,868 4,687,934 2,343,967 7,031,902 3,515,951 10,547,854 5,273,927 15,821,782 7,910,891 23,732,674 11,866,337 35,599,012 17,799,506 8,899,753 26,699,260 13,349,630 6,674,815 20,024,446 10,012,223 30,036,670 15,018,335 45,055,006 22,527,503 67,582,510 33,791,255 101,373,766 50,686,883 152,060,650 76,030,325 228,090,976 114,045,488 57,022,744 28,511,372 14,255,686 7,127,843 21,383,530 10,691,765 32,075,296 16,037,648 8,018,824 4,009,412 2,004,706 1,002,353 3,007,060 1,503,530 751,765 2,255,296 1,127,648 563,824 281,912 140,956 70,478 35,239 105,718 52,859

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #50,004,623 Browse Full Index Next Integer #50,004,625 →