7,774,948

2² × 67² × 433

7,774,948 factors as 2^2 × 67^2 × 433. Its 18 positive divisors give a proper-divisor sum of 6,069,218, so this integer is deficient. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2^2 × 67^2 × 433

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 13,844,166

Proper Divisor Sum 6,069,218

Digit Sum / Digital Root 46 (Root: 1)

Adjacent Primes #7774939 ← → #7774957

Radix Representation

Decimal	7774948
Binary	11101101010001011100100 (23 bits)
Octal	0o35521344
Hexadecimal	0x76A2E4

Divisor Catalog (18)

1 2 4 67 134 268 433 866 1,732 4,489 8,978 17,956 29,011 58,022 116,044 1,943,737 3,887,474 7,774,948

Collatz Trajectory (98 steps to reach 1)

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

7,774,948 3,887,474 1,943,737 5,831,212 2,915,606 1,457,803 4,373,410 2,186,705 6,560,116 3,280,058 1,640,029 4,920,088 2,460,044 1,230,022 615,011 1,845,034 922,517 2,767,552 1,383,776 691,888 345,944 172,972 86,486 43,243 129,730 64,865 194,596 97,298 48,649 145,948 72,974 36,487 109,462 54,731 164,194 82,097 246,292 123,146 61,573 184,720 92,360 46,180 23,090 11,545 34,636 17,318 8,659 25,978 12,989 38,968 19,484 9,742 4,871 14,614 7,307 21,922 10,961 32,884 16,442 8,221

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