λ
Sigma Notebook

3,623,691

3 × 127 × 9511
Deficient Odd Composite

3,623,691 is odd and not a perfect square. Its factorization is 3 × 127 × 9511 and its 8 divisors sum to 4,870,144.

Prime Factor Structure

Factorization String 3 × 127 × 9511
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,870,144
Proper Divisor Sum 1,246,453
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3623689 ← → #3623701

Radix Representation

Decimal 3623691
Binary 1101110100101100001011 (22 bits)
Octal 0o15645413
Hexadecimal 0x374B0B

Divisor Catalog (8)

1 3 127 381 9,511 28,533 1,207,897 3,623,691

Collatz Trajectory (433 steps to reach 1)

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

3,623,691 10,871,074 5,435,537 16,306,612 8,153,306 4,076,653 12,229,960 6,114,980 3,057,490 1,528,745 4,586,236 2,293,118 1,146,559 3,439,678 1,719,839 5,159,518 2,579,759 7,739,278 3,869,639 11,608,918 5,804,459 17,413,378 8,706,689 26,120,068 13,060,034 6,530,017 19,590,052 9,795,026 4,897,513 14,692,540 7,346,270 3,673,135 11,019,406 5,509,703 16,529,110 8,264,555 24,793,666 12,396,833 37,190,500 18,595,250 9,297,625 27,892,876 13,946,438 6,973,219 20,919,658 10,459,829 31,379,488 15,689,744 7,844,872 3,922,436 1,961,218 980,609 2,941,828 1,470,914 735,457 2,206,372 1,103,186 551,593 1,654,780 827,390

More profiles

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