λ
Harmonic Matrix

3,774,451

3774451
Deficient Odd Prime

3,774,451 has digital root 4. The neighboring primes are 3774443 and 3774457; its proper-divisor sum differs from the starting integer by -3,774,450.

Prime Factor Structure

Factorization String 3774451
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,774,452
Proper Divisor Sum 1
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3774443 ← → #3774457

Radix Representation

Decimal 3774451
Binary 1110011001011111110011 (22 bits)
Octal 0o16313763
Hexadecimal 0x3997F3

Divisor Catalog (2)

Collatz Trajectory (216 steps to reach 1)

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

3,774,451 11,323,354 5,661,677 16,985,032 8,492,516 4,246,258 2,123,129 6,369,388 3,184,694 1,592,347 4,777,042 2,388,521 7,165,564 3,582,782 1,791,391 5,374,174 2,687,087 8,061,262 4,030,631 12,091,894 6,045,947 18,137,842 9,068,921 27,206,764 13,603,382 6,801,691 20,405,074 10,202,537 30,607,612 15,303,806 7,651,903 22,955,710 11,477,855 34,433,566 17,216,783 51,650,350 25,825,175 77,475,526 38,737,763 116,213,290 58,106,645 174,319,936 87,159,968 43,579,984 21,789,992 10,894,996 5,447,498 2,723,749 8,171,248 4,085,624 2,042,812 1,021,406 510,703 1,532,110 766,055 2,298,166 1,149,083 3,447,250 1,723,625 5,170,876

More profiles

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