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Atlas › Integer Profiles › Node 3,723,968

3,723,968

26 × 31 × 1877
Abundant Even Composite

3,723,968 factors as 2^6 × 31 × 1877. Its 28 positive divisors give a proper-divisor sum of 3,908,224, so this integer is abundant. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 2^6 × 31 × 1877
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 7,632,192
Proper Divisor Sum 3,908,224
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #3723959 ← → #3724001

Radix Representation

Decimal 3723968
Binary 1110001101001011000000 (22 bits)
Octal 0o16151300
Hexadecimal 0x38D2C0

Divisor Catalog (28)

1 2 4 8 16 31 32 62 64 124 248 496 992 1,877 1,984 3,754 7,508 15,016 30,032 58,187 60,064 116,374 120,128 232,748 465,496 930,992 1,861,984 3,723,968

Collatz Trajectory (141 steps to reach 1)

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

3,723,968 1,861,984 930,992 465,496 232,748 116,374 58,187 174,562 87,281 261,844 130,922 65,461 196,384 98,192 49,096 24,548 12,274 6,137 18,412 9,206 4,603 13,810 6,905 20,716 10,358 5,179 15,538 7,769 23,308 11,654 5,827 17,482 8,741 26,224 13,112 6,556 3,278 1,639 4,918 2,459 7,378 3,689 11,068 5,534 2,767 8,302 4,151 12,454 6,227 18,682 9,341 28,024 14,012 7,006 3,503 10,510 5,255 15,766 7,883 23,650

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