λ
Sequence Observatory

7,271,977

7271977
Deficient Odd Prime

Starting at 7,271,977, the Collatz iteration reaches 1 after 160 steps. The first transition is 21815932; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 7271977
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,271,978
Proper Divisor Sum 1
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #7271969 ← → #7271987

Radix Representation

Decimal 7271977
Binary 11011101111011000101001 (23 bits)
Octal 0o33573051
Hexadecimal 0x6EF629

Divisor Catalog (2)

Collatz Trajectory (160 steps to reach 1)

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

7,271,977 21,815,932 10,907,966 5,453,983 16,361,950 8,180,975 24,542,926 12,271,463 36,814,390 18,407,195 55,221,586 27,610,793 82,832,380 41,416,190 20,708,095 62,124,286 31,062,143 93,186,430 46,593,215 139,779,646 69,889,823 209,669,470 104,834,735 314,504,206 157,252,103 471,756,310 235,878,155 707,634,466 353,817,233 1,061,451,700 530,725,850 265,362,925 796,088,776 398,044,388 199,022,194 99,511,097 298,533,292 149,266,646 74,633,323 223,899,970 111,949,985 335,849,956 167,924,978 83,962,489 251,887,468 125,943,734 62,971,867 188,915,602 94,457,801 283,373,404 141,686,702 70,843,351 212,530,054 106,265,027 318,795,082 159,397,541 478,192,624 239,096,312 119,548,156 59,774,078

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