λ
Sequence Observatory

4,277,951

4277951
Deficient Odd Prime

Starting at 4,277,951, the Collatz iteration reaches 1 after 123 steps. The first transition is 12833854; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 4277951
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 4,277,952
Proper Divisor Sum 1
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #4277887 ← → #4277953

Radix Representation

Decimal 4277951
Binary 10000010100011010111111 (23 bits)
Octal 0o20243277
Hexadecimal 0x4146BF

Divisor Catalog (2)

Collatz Trajectory (123 steps to reach 1)

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

4,277,951 12,833,854 6,416,927 19,250,782 9,625,391 28,876,174 14,438,087 43,314,262 21,657,131 64,971,394 32,485,697 97,457,092 48,728,546 24,364,273 73,092,820 36,546,410 18,273,205 54,819,616 27,409,808 13,704,904 6,852,452 3,426,226 1,713,113 5,139,340 2,569,670 1,284,835 3,854,506 1,927,253 5,781,760 2,890,880 1,445,440 722,720 361,360 180,680 90,340 45,170 22,585 67,756 33,878 16,939 50,818 25,409 76,228 38,114 19,057 57,172 28,586 14,293 42,880 21,440 10,720 5,360 2,680 1,340 670 335 1,006 503 1,510 755

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