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Atlas › Integer Profiles › Node 3,349,998

3,349,998

2 × 35 × 61 × 113
Abundant Even Composite

3,349,998 factors as 2 × 3^5 × 61 × 113. Its 48 positive divisors give a proper-divisor sum of 4,368,258, so this integer is abundant. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 2 × 3^5 × 61 × 113
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,718,256
Proper Divisor Sum 4,368,258
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #3349939 ← → #3349999

Radix Representation

Decimal 3349998
Binary 1100110001110111101110 (22 bits)
Octal 0o14616756
Hexadecimal 0x331DEE

Divisor Catalog (48)

1 2 3 6 9 18 27 54 61 81 113 122 162 183 226 243 339 366 486 549 678 1,017 1,098 1,647 2,034 3,051 3,294 4,941 6,102 6,893 9,153 9,882 13,786 14,823 18,306 20,679 27,459 29,646 41,358 54,918 62,037 124,074 186,111 372,222 558,333 1,116,666 1,674,999 3,349,998

Collatz Trajectory (115 steps to reach 1)

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

3,349,998 1,674,999 5,024,998 2,512,499 7,537,498 3,768,749 11,306,248 5,653,124 2,826,562 1,413,281 4,239,844 2,119,922 1,059,961 3,179,884 1,589,942 794,971 2,384,914 1,192,457 3,577,372 1,788,686 894,343 2,683,030 1,341,515 4,024,546 2,012,273 6,036,820 3,018,410 1,509,205 4,527,616 2,263,808 1,131,904 565,952 282,976 141,488 70,744 35,372 17,686 8,843 26,530 13,265 39,796 19,898 9,949 29,848 14,924 7,462 3,731 11,194 5,597 16,792 8,396 4,198 2,099 6,298 3,149 9,448 4,724 2,362 1,181 3,544

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