λ
Integer Codex

9,414,215

5 × 19 × 41 × 2417
Deficient Odd Composite

For 9,414,215, the 16 positive divisors have a total of 12,186,720. Removing 9,414,215 leaves 2,772,505, which gives the deficient classification.

Prime Factor Structure

Factorization String 5 × 19 × 41 × 2417
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,186,720
Proper Divisor Sum 2,772,505
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #9414211 ← → #9414227

Radix Representation

Decimal 9414215
Binary 100011111010011001000111 (24 bits)
Octal 0o43723107
Hexadecimal 0x8FA647

Divisor Catalog (16)

1 5 19 41 95 205 779 2,417 3,895 12,085 45,923 99,097 229,615 495,485 1,882,843 9,414,215

Collatz Trajectory (207 steps to reach 1)

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

9,414,215 28,242,646 14,121,323 42,363,970 21,181,985 63,545,956 31,772,978 15,886,489 47,659,468 23,829,734 11,914,867 35,744,602 17,872,301 53,616,904 26,808,452 13,404,226 6,702,113 20,106,340 10,053,170 5,026,585 15,079,756 7,539,878 3,769,939 11,309,818 5,654,909 16,964,728 8,482,364 4,241,182 2,120,591 6,361,774 3,180,887 9,542,662 4,771,331 14,313,994 7,156,997 21,470,992 10,735,496 5,367,748 2,683,874 1,341,937 4,025,812 2,012,906 1,006,453 3,019,360 1,509,680 754,840 377,420 188,710 94,355 283,066 141,533 424,600 212,300 106,150 53,075 159,226 79,613 238,840 119,420 59,710

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