λ
Harmonic Matrix

3,787,961

3787961
Deficient Odd Prime

3,787,961 has digital root 5. The neighboring primes are 3787943 and 3787967; its proper-divisor sum differs from the starting integer by -3,787,960.

Prime Factor Structure

Factorization String 3787961
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,787,962
Proper Divisor Sum 1
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #3787943 ← → #3787967

Radix Representation

Decimal 3787961
Binary 1110011100110010111001 (22 bits)
Octal 0o16346271
Hexadecimal 0x39CCB9

Divisor Catalog (2)

1 3,787,961

Collatz Trajectory (384 steps to reach 1)

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

3,787,961 11,363,884 5,681,942 2,840,971 8,522,914 4,261,457 12,784,372 6,392,186 3,196,093 9,588,280 4,794,140 2,397,070 1,198,535 3,595,606 1,797,803 5,393,410 2,696,705 8,090,116 4,045,058 2,022,529 6,067,588 3,033,794 1,516,897 4,550,692 2,275,346 1,137,673 3,413,020 1,706,510 853,255 2,559,766 1,279,883 3,839,650 1,919,825 5,759,476 2,879,738 1,439,869 4,319,608 2,159,804 1,079,902 539,951 1,619,854 809,927 2,429,782 1,214,891 3,644,674 1,822,337 5,467,012 2,733,506 1,366,753 4,100,260 2,050,130 1,025,065 3,075,196 1,537,598 768,799 2,306,398 1,153,199 3,459,598 1,729,799 5,189,398

More profiles

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