λ
Sequence Observatory

2,993,501

7 × 499 × 857
Deficient Odd Composite

Starting at 2,993,501, the Collatz iteration reaches 1 after 89 steps. The first transition is 8980504; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 499 × 857
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,432,000
Proper Divisor Sum 438,499
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #2993491 ← → #2993521

Radix Representation

Decimal 2993501
Binary 1011011010110101011101 (22 bits)
Octal 0o13326535
Hexadecimal 0x2DAD5D

Divisor Catalog (8)

1 7 499 857 3,493 5,999 427,643 2,993,501

Collatz Trajectory (89 steps to reach 1)

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

2,993,501 8,980,504 4,490,252 2,245,126 1,122,563 3,367,690 1,683,845 5,051,536 2,525,768 1,262,884 631,442 315,721 947,164 473,582 236,791 710,374 355,187 1,065,562 532,781 1,598,344 799,172 399,586 199,793 599,380 299,690 149,845 449,536 224,768 112,384 56,192 28,096 14,048 7,024 3,512 1,756 878 439 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89

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