λ
Integer Codex

1,988,407

19 × 229 × 457
Deficient Odd Composite

For 1,988,407, the 8 positive divisors have a total of 2,106,800. Removing 1,988,407 leaves 118,393, which gives the deficient classification.

Prime Factor Structure

Factorization String 19 × 229 × 457
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,106,800
Proper Divisor Sum 118,393
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #1988353 ← → #1988411

Radix Representation

Decimal 1988407
Binary 111100101011100110111 (21 bits)
Octal 0o7453467
Hexadecimal 0x1E5737

Divisor Catalog (8)

1 19 229 457 4,351 8,683 104,653 1,988,407

Collatz Trajectory (166 steps to reach 1)

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

1,988,407 5,965,222 2,982,611 8,947,834 4,473,917 13,421,752 6,710,876 3,355,438 1,677,719 5,033,158 2,516,579 7,549,738 3,774,869 11,324,608 5,662,304 2,831,152 1,415,576 707,788 353,894 176,947 530,842 265,421 796,264 398,132 199,066 99,533 298,600 149,300 74,650 37,325 111,976 55,988 27,994 13,997 41,992 20,996 10,498 5,249 15,748 7,874 3,937 11,812 5,906 2,953 8,860 4,430 2,215 6,646 3,323 9,970 4,985 14,956 7,478 3,739 11,218 5,609 16,828 8,414 4,207 12,622

More profiles

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