3,692,300

2² × 5² × 36923

3,692,300 factors as 2^2 × 5^2 × 36923. Its 18 positive divisors give a proper-divisor sum of 4,320,208, so this integer is abundant. The Collatz stopping time is 164 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 36923

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 8,012,508

Proper Divisor Sum 4,320,208

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #3692291 ← → #3692321

Radix Representation

Decimal	3692300
Binary	1110000101011100001100 (22 bits)
Octal	0o16053414
Hexadecimal	0x38570C

Divisor Catalog (18)

1 2 4 5 10 20 25 50 100 36,923 73,846 147,692 184,615 369,230 738,460 923,075 1,846,150 3,692,300

Collatz Trajectory (164 steps to reach 1)

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

3,692,300 1,846,150 923,075 2,769,226 1,384,613 4,153,840 2,076,920 1,038,460 519,230 259,615 778,846 389,423 1,168,270 584,135 1,752,406 876,203 2,628,610 1,314,305 3,942,916 1,971,458 985,729 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

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