λ
Sequence Observatory

7,491,973

7491973
Deficient Odd Prime

Starting at 7,491,973, the Collatz iteration reaches 1 after 134 steps. The first transition is 22475920; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 7491973
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,491,974
Proper Divisor Sum 1
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #7491949 ← → #7492031

Radix Representation

Decimal 7491973
Binary 11100100101000110000101 (23 bits)
Octal 0o34450605
Hexadecimal 0x725185

Divisor Catalog (2)

Collatz Trajectory (134 steps to reach 1)

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

7,491,973 22,475,920 11,237,960 5,618,980 2,809,490 1,404,745 4,214,236 2,107,118 1,053,559 3,160,678 1,580,339 4,741,018 2,370,509 7,111,528 3,555,764 1,777,882 888,941 2,666,824 1,333,412 666,706 333,353 1,000,060 500,030 250,015 750,046 375,023 1,125,070 562,535 1,687,606 843,803 2,531,410 1,265,705 3,797,116 1,898,558 949,279 2,847,838 1,423,919 4,271,758 2,135,879 6,407,638 3,203,819 9,611,458 4,805,729 14,417,188 7,208,594 3,604,297 10,812,892 5,406,446 2,703,223 8,109,670 4,054,835 12,164,506 6,082,253 18,246,760 9,123,380 4,561,690 2,280,845 6,842,536 3,421,268 1,710,634

More profiles

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