λ
Sequence Observatory

7,421,829

3 × 2473943
Deficient Odd Composite

Starting at 7,421,829, the Collatz iteration reaches 1 after 217 steps. The first transition is 22265488; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 2473943
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,895,776
Proper Divisor Sum 2,473,947
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #7421807 ← → #7421831

Radix Representation

Decimal 7421829
Binary 11100010011111110000101 (23 bits)
Octal 0o34237605
Hexadecimal 0x713F85

Divisor Catalog (4)

1 3 2,473,943 7,421,829

Collatz Trajectory (217 steps to reach 1)

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

7,421,829 22,265,488 11,132,744 5,566,372 2,783,186 1,391,593 4,174,780 2,087,390 1,043,695 3,131,086 1,565,543 4,696,630 2,348,315 7,044,946 3,522,473 10,567,420 5,283,710 2,641,855 7,925,566 3,962,783 11,888,350 5,944,175 17,832,526 8,916,263 26,748,790 13,374,395 40,123,186 20,061,593 60,184,780 30,092,390 15,046,195 45,138,586 22,569,293 67,707,880 33,853,940 16,926,970 8,463,485 25,390,456 12,695,228 6,347,614 3,173,807 9,521,422 4,760,711 14,282,134 7,141,067 21,423,202 10,711,601 32,134,804 16,067,402 8,033,701 24,101,104 12,050,552 6,025,276 3,012,638 1,506,319 4,518,958 2,259,479 6,778,438 3,389,219 10,167,658

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