λ
Ratio Atlas

7,472,081

101 × 167 × 443
Deficient Odd Composite

7,472,081 factors as 101 × 167 × 443. Its 8 positive divisors give a proper-divisor sum of 136,303, so this integer is deficient. The Collatz stopping time is 235 steps.

Prime Factor Structure

Factorization String 101 × 167 × 443
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,608,384
Proper Divisor Sum 136,303
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #7472063 ← → #7472089

Radix Representation

Decimal 7472081
Binary 11100100000001111010001 (23 bits)
Octal 0o34401721
Hexadecimal 0x7203D1

Divisor Catalog (8)

1 101 167 443 16,867 44,743 73,981 7,472,081

Collatz Trajectory (235 steps to reach 1)

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

7,472,081 22,416,244 11,208,122 5,604,061 16,812,184 8,406,092 4,203,046 2,101,523 6,304,570 3,152,285 9,456,856 4,728,428 2,364,214 1,182,107 3,546,322 1,773,161 5,319,484 2,659,742 1,329,871 3,989,614 1,994,807 5,984,422 2,992,211 8,976,634 4,488,317 13,464,952 6,732,476 3,366,238 1,683,119 5,049,358 2,524,679 7,574,038 3,787,019 11,361,058 5,680,529 17,041,588 8,520,794 4,260,397 12,781,192 6,390,596 3,195,298 1,597,649 4,792,948 2,396,474 1,198,237 3,594,712 1,797,356 898,678 449,339 1,348,018 674,009 2,022,028 1,011,014 505,507 1,516,522 758,261 2,274,784 1,137,392 568,696 284,348

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