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Atlas › Integer Profiles › Node 3,500,973

3,500,973

32 × 7 × 61 × 911
Deficient Odd Composite

3,500,973 factors as 3^2 × 7 × 61 × 911. Its 24 positive divisors give a proper-divisor sum of 2,379,603, so this integer is deficient. The Collatz stopping time is 265 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 61 × 911
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,880,576
Proper Divisor Sum 2,379,603
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3500969 ← → #3500999

Radix Representation

Decimal 3500973
Binary 1101010110101110101101 (22 bits)
Octal 0o15265655
Hexadecimal 0x356BAD

Divisor Catalog (24)

1 3 7 9 21 61 63 183 427 549 911 1,281 2,733 3,843 6,377 8,199 19,131 55,571 57,393 166,713 388,997 500,139 1,166,991 3,500,973

Collatz Trajectory (265 steps to reach 1)

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

3,500,973 10,502,920 5,251,460 2,625,730 1,312,865 3,938,596 1,969,298 984,649 2,953,948 1,476,974 738,487 2,215,462 1,107,731 3,323,194 1,661,597 4,984,792 2,492,396 1,246,198 623,099 1,869,298 934,649 2,803,948 1,401,974 700,987 2,102,962 1,051,481 3,154,444 1,577,222 788,611 2,365,834 1,182,917 3,548,752 1,774,376 887,188 443,594 221,797 665,392 332,696 166,348 83,174 41,587 124,762 62,381 187,144 93,572 46,786 23,393 70,180 35,090 17,545 52,636 26,318 13,159 39,478 19,739 59,218 29,609 88,828 44,414 22,207

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