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Atlas › Integer Profiles › Node 16,308,700

16,308,700

22 × 52 × 71 × 2297
Abundant Even Composite

16,308,700 factors as 2^2 × 5^2 × 71 × 2297. Its 36 positive divisors give a proper-divisor sum of 19,595,252, so this integer is abundant. The Collatz stopping time is 125 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 71 × 2297
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 35,903,952
Proper Divisor Sum 19,595,252
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #16308667 ← → #16308703

Radix Representation

Decimal 16308700
Binary 111110001101100111011100 (24 bits)
Octal 0o76154734
Hexadecimal 0xF8D9DC

Divisor Catalog (36)

1 2 4 5 10 20 25 50 71 100 142 284 355 710 1,420 1,775 2,297 3,550 4,594 7,100 9,188 11,485 22,970 45,940 57,425 114,850 163,087 229,700 326,174 652,348 815,435 1,630,870 3,261,740 4,077,175 8,154,350 16,308,700

Collatz Trajectory (125 steps to reach 1)

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

16,308,700 8,154,350 4,077,175 12,231,526 6,115,763 18,347,290 9,173,645 27,520,936 13,760,468 6,880,234 3,440,117 10,320,352 5,160,176 2,580,088 1,290,044 645,022 322,511 967,534 483,767 1,451,302 725,651 2,176,954 1,088,477 3,265,432 1,632,716 816,358 408,179 1,224,538 612,269 1,836,808 918,404 459,202 229,601 688,804 344,402 172,201 516,604 258,302 129,151 387,454 193,727 581,182 290,591 871,774 435,887 1,307,662 653,831 1,961,494 980,747 2,942,242 1,471,121 4,413,364 2,206,682 1,103,341 3,310,024 1,655,012 827,506 413,753 1,241,260 620,630

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