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Atlas › Integer Profiles › Node 3,484,978

3,484,978

2 × 72 × 43 × 827
Deficient Even Composite

3,484,978 factors as 2 × 7^2 × 43 × 827. Its 24 positive divisors give a proper-divisor sum of 2,744,894, so this integer is deficient. The Collatz stopping time is 97 steps.

Prime Factor Structure

Factorization String 2 × 7^2 × 43 × 827
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,229,872
Proper Divisor Sum 2,744,894
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #3484967 ← → #3484979

Radix Representation

Decimal 3484978
Binary 1101010010110100110010 (22 bits)
Octal 0o15226462
Hexadecimal 0x352D32

Divisor Catalog (24)

1 2 7 14 43 49 86 98 301 602 827 1,654 2,107 4,214 5,789 11,578 35,561 40,523 71,122 81,046 248,927 497,854 1,742,489 3,484,978

Collatz Trajectory (97 steps to reach 1)

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

3,484,978 1,742,489 5,227,468 2,613,734 1,306,867 3,920,602 1,960,301 5,880,904 2,940,452 1,470,226 735,113 2,205,340 1,102,670 551,335 1,654,006 827,003 2,481,010 1,240,505 3,721,516 1,860,758 930,379 2,791,138 1,395,569 4,186,708 2,093,354 1,046,677 3,140,032 1,570,016 785,008 392,504 196,252 98,126 49,063 147,190 73,595 220,786 110,393 331,180 165,590 82,795 248,386 124,193 372,580 186,290 93,145 279,436 139,718 69,859 209,578 104,789 314,368 157,184 78,592 39,296 19,648 9,824 4,912 2,456 1,228 614

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