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Atlas › Integer Profiles › Node 16,615,400

16,615,400

23 × 52 × 83077
Abundant Even Composite

16,615,400 factors as 2^3 × 5^2 × 83077. Its 24 positive divisors give a proper-divisor sum of 22,015,870, so this integer is abundant. The Collatz stopping time is 161 steps.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 83077
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 38,631,270
Proper Divisor Sum 22,015,870
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #16615399 ← → #16615429

Radix Representation

Decimal 16615400
Binary 111111011000011111101000 (24 bits)
Octal 0o77303750
Hexadecimal 0xFD87E8

Divisor Catalog (24)

1 2 4 5 8 10 20 25 40 50 100 200 83,077 166,154 332,308 415,385 664,616 830,770 1,661,540 2,076,925 3,323,080 4,153,850 8,307,700 16,615,400

Collatz Trajectory (161 steps to reach 1)

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

16,615,400 8,307,700 4,153,850 2,076,925 6,230,776 3,115,388 1,557,694 778,847 2,336,542 1,168,271 3,504,814 1,752,407 5,257,222 2,628,611 7,885,834 3,942,917 11,828,752 5,914,376 2,957,188 1,478,594 739,297 2,217,892 1,108,946 554,473 1,663,420 831,710 415,855 1,247,566 623,783 1,871,350 935,675 2,807,026 1,403,513 4,210,540 2,105,270 1,052,635 3,157,906 1,578,953 4,736,860 2,368,430 1,184,215 3,552,646 1,776,323 5,328,970 2,664,485 7,993,456 3,996,728 1,998,364 999,182 499,591 1,498,774 749,387 2,248,162 1,124,081 3,372,244 1,686,122 843,061 2,529,184 1,264,592 632,296

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