λ
Integer Codex

7,199,992

23 × 397 × 2267
Deficient Even Composite

For 7,199,992, the 16 positive divisors have a total of 13,539,960. Removing 7,199,992 leaves 6,339,968, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^3 × 397 × 2267
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 13,539,960
Proper Divisor Sum 6,339,968
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #7199957 ← → #7200007

Radix Representation

Decimal 7199992
Binary 11011011101110011111000 (23 bits)
Octal 0o33356370
Hexadecimal 0x6DDCF8

Divisor Catalog (16)

1 2 4 8 397 794 1,588 2,267 3,176 4,534 9,068 18,136 899,999 1,799,998 3,599,996 7,199,992

Collatz Trajectory (227 steps to reach 1)

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

7,199,992 3,599,996 1,799,998 899,999 2,699,998 1,349,999 4,049,998 2,024,999 6,074,998 3,037,499 9,112,498 4,556,249 13,668,748 6,834,374 3,417,187 10,251,562 5,125,781 15,377,344 7,688,672 3,844,336 1,922,168 961,084 480,542 240,271 720,814 360,407 1,081,222 540,611 1,621,834 810,917 2,432,752 1,216,376 608,188 304,094 152,047 456,142 228,071 684,214 342,107 1,026,322 513,161 1,539,484 769,742 384,871 1,154,614 577,307 1,731,922 865,961 2,597,884 1,298,942 649,471 1,948,414 974,207 2,922,622 1,461,311 4,383,934 2,191,967 6,575,902 3,287,951 9,863,854

More profiles

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