λ
Sequence Observatory

7,277,351

7277351
Deficient Odd Prime

Starting at 7,277,351, the Collatz iteration reaches 1 after 116 steps. The first transition is 21832054; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 7277351
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,277,352
Proper Divisor Sum 1
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #7277341 ← → #7277371

Radix Representation

Decimal 7277351
Binary 11011110000101100100111 (23 bits)
Octal 0o33605447
Hexadecimal 0x6F0B27

Divisor Catalog (2)

Collatz Trajectory (116 steps to reach 1)

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

7,277,351 21,832,054 10,916,027 32,748,082 16,374,041 49,122,124 24,561,062 12,280,531 36,841,594 18,420,797 55,262,392 27,631,196 13,815,598 6,907,799 20,723,398 10,361,699 31,085,098 15,542,549 46,627,648 23,313,824 11,656,912 5,828,456 2,914,228 1,457,114 728,557 2,185,672 1,092,836 546,418 273,209 819,628 409,814 204,907 614,722 307,361 922,084 461,042 230,521 691,564 345,782 172,891 518,674 259,337 778,012 389,006 194,503 583,510 291,755 875,266 437,633 1,312,900 656,450 328,225 984,676 492,338 246,169 738,508 369,254 184,627 553,882 276,941

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