λ
Matchaa Zalai

7,153,047

32 × 11 × 72253
Deficient Odd Composite

7,153,047 factors as 3^2 × 11 × 72253. Its 12 positive divisors give a proper-divisor sum of 4,118,577, so this integer is deficient. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 3^2 × 11 × 72253
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 11,271,624
Proper Divisor Sum 4,118,577
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7152991 ← → #7153049

Radix Representation

Decimal 7153047
Binary 11011010010010110010111 (23 bits)
Octal 0o33222627
Hexadecimal 0x6D2597

Divisor Catalog (12)

1 3 9 11 33 99 72,253 216,759 650,277 794,783 2,384,349 7,153,047

Collatz Trajectory (142 steps to reach 1)

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

7,153,047 21,459,142 10,729,571 32,188,714 16,094,357 48,283,072 24,141,536 12,070,768 6,035,384 3,017,692 1,508,846 754,423 2,263,270 1,131,635 3,394,906 1,697,453 5,092,360 2,546,180 1,273,090 636,545 1,909,636 954,818 477,409 1,432,228 716,114 358,057 1,074,172 537,086 268,543 805,630 402,815 1,208,446 604,223 1,812,670 906,335 2,719,006 1,359,503 4,078,510 2,039,255 6,117,766 3,058,883 9,176,650 4,588,325 13,764,976 6,882,488 3,441,244 1,720,622 860,311 2,580,934 1,290,467 3,871,402 1,935,701 5,807,104 2,903,552 1,451,776 725,888 362,944 181,472 90,736 45,368

More profiles

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