λ
Modular Archive

3,677,753

3677753
Deficient Odd Prime

The decimal integer 3,677,753 is 1110000001111000111001 in binary (22 bits), 16017071 in octal and 381E39 in hexadecimal. Its digit sum is 38.

Prime Factor Structure

Factorization String 3677753
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,677,754
Proper Divisor Sum 1
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #3677743 ← → #3677771

Radix Representation

Decimal 3677753
Binary 1110000001111000111001 (22 bits)
Octal 0o16017071
Hexadecimal 0x381E39

Divisor Catalog (2)

Collatz Trajectory (172 steps to reach 1)

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

3,677,753 11,033,260 5,516,630 2,758,315 8,274,946 4,137,473 12,412,420 6,206,210 3,103,105 9,309,316 4,654,658 2,327,329 6,981,988 3,490,994 1,745,497 5,236,492 2,618,246 1,309,123 3,927,370 1,963,685 5,891,056 2,945,528 1,472,764 736,382 368,191 1,104,574 552,287 1,656,862 828,431 2,485,294 1,242,647 3,727,942 1,863,971 5,591,914 2,795,957 8,387,872 4,193,936 2,096,968 1,048,484 524,242 262,121 786,364 393,182 196,591 589,774 294,887 884,662 442,331 1,326,994 663,497 1,990,492 995,246 497,623 1,492,870 746,435 2,239,306 1,119,653 3,358,960 1,679,480 839,740

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