λ
Integer Codex

1,621,631

11 × 19 × 7759
Deficient Odd Composite

For 1,621,631, the 8 positive divisors have a total of 1,862,400. Removing 1,621,631 leaves 240,769, which gives the deficient classification.

Prime Factor Structure

Factorization String 11 × 19 × 7759
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,862,400
Proper Divisor Sum 240,769
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #1621621 ← → #1621637

Radix Representation

Decimal 1621631
Binary 110001011111001111111 (21 bits)
Octal 0o6137177
Hexadecimal 0x18BE7F

Divisor Catalog (8)

1 11 19 209 7,759 85,349 147,421 1,621,631

Collatz Trajectory (114 steps to reach 1)

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

1,621,631 4,864,894 2,432,447 7,297,342 3,648,671 10,946,014 5,473,007 16,419,022 8,209,511 24,628,534 12,314,267 36,942,802 18,471,401 55,414,204 27,707,102 13,853,551 41,560,654 20,780,327 62,340,982 31,170,491 93,511,474 46,755,737 140,267,212 70,133,606 35,066,803 105,200,410 52,600,205 157,800,616 78,900,308 39,450,154 19,725,077 59,175,232 29,587,616 14,793,808 7,396,904 3,698,452 1,849,226 924,613 2,773,840 1,386,920 693,460 346,730 173,365 520,096 260,048 130,024 65,012 32,506 16,253 48,760 24,380 12,190 6,095 18,286 9,143 27,430 13,715 41,146 20,573 61,720

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