λ
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Atlas › Integer Profiles › Node 3,485,296

3,485,296

24 × 61 × 3571
Deficient Even Composite

3,485,296 factors as 2^4 × 61 × 3571. Its 20 positive divisors give a proper-divisor sum of 3,380,088, so this integer is deficient. The Collatz stopping time is 102 steps.

Prime Factor Structure

Factorization String 2^4 × 61 × 3571
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 6,865,384
Proper Divisor Sum 3,380,088
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #3485291 ← → #3485297

Radix Representation

Decimal 3485296
Binary 1101010010111001110000 (22 bits)
Octal 0o15227160
Hexadecimal 0x352E70

Divisor Catalog (20)

1 2 4 8 16 61 122 244 488 976 3,571 7,142 14,284 28,568 57,136 217,831 435,662 871,324 1,742,648 3,485,296

Collatz Trajectory (102 steps to reach 1)

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

3,485,296 1,742,648 871,324 435,662 217,831 653,494 326,747 980,242 490,121 1,470,364 735,182 367,591 1,102,774 551,387 1,654,162 827,081 2,481,244 1,240,622 620,311 1,860,934 930,467 2,791,402 1,395,701 4,187,104 2,093,552 1,046,776 523,388 261,694 130,847 392,542 196,271 588,814 294,407 883,222 441,611 1,324,834 662,417 1,987,252 993,626 496,813 1,490,440 745,220 372,610 186,305 558,916 279,458 139,729 419,188 209,594 104,797 314,392 157,196 78,598 39,299 117,898 58,949 176,848 88,424 44,212 22,106

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