λ
Integer Codex

7,074,801

32 × 193 × 4073
Deficient Odd Composite

For 7,074,801, the 12 positive divisors have a total of 10,274,628. Removing 7,074,801 leaves 3,199,827, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 193 × 4073
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 10,274,628
Proper Divisor Sum 3,199,827
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7074799 ← → #7074827

Radix Representation

Decimal 7074801
Binary 11010111111001111110001 (23 bits)
Octal 0o32771761
Hexadecimal 0x6BF3F1

Divisor Catalog (12)

1 3 9 193 579 1,737 4,073 12,219 36,657 786,089 2,358,267 7,074,801

Collatz Trajectory (129 steps to reach 1)

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

7,074,801 21,224,404 10,612,202 5,306,101 15,918,304 7,959,152 3,979,576 1,989,788 994,894 497,447 1,492,342 746,171 2,238,514 1,119,257 3,357,772 1,678,886 839,443 2,518,330 1,259,165 3,777,496 1,888,748 944,374 472,187 1,416,562 708,281 2,124,844 1,062,422 531,211 1,593,634 796,817 2,390,452 1,195,226 597,613 1,792,840 896,420 448,210 224,105 672,316 336,158 168,079 504,238 252,119 756,358 378,179 1,134,538 567,269 1,701,808 850,904 425,452 212,726 106,363 319,090 159,545 478,636 239,318 119,659 358,978 179,489 538,468 269,234

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