λ
Harmonic Matrix

3,577,961

3577961
Deficient Odd Prime

3,577,961 has digital root 2. The neighboring primes are 3577957 and 3577963; its proper-divisor sum differs from the starting integer by -3,577,960.

Prime Factor Structure

Factorization String 3577961
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,577,962
Proper Divisor Sum 1
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #3577957 ← → #3577963

Radix Representation

Decimal 3577961
Binary 1101101001100001101001 (22 bits)
Octal 0o15514151
Hexadecimal 0x369869

Divisor Catalog (2)

Collatz Trajectory (97 steps to reach 1)

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

3,577,961 10,733,884 5,366,942 2,683,471 8,050,414 4,025,207 12,075,622 6,037,811 18,113,434 9,056,717 27,170,152 13,585,076 6,792,538 3,396,269 10,188,808 5,094,404 2,547,202 1,273,601 3,820,804 1,910,402 955,201 2,865,604 1,432,802 716,401 2,149,204 1,074,602 537,301 1,611,904 805,952 402,976 201,488 100,744 50,372 25,186 12,593 37,780 18,890 9,445 28,336 14,168 7,084 3,542 1,771 5,314 2,657 7,972 3,986 1,993 5,980 2,990 1,495 4,486 2,243 6,730 3,365 10,096 5,048 2,524 1,262 631

More profiles

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