λ
Harmonic Matrix

1,173,973

37 × 31729
Deficient Odd Composite

1,173,973 has digital root 4. The neighboring primes are 1173961 and 1173979; its proper-divisor sum differs from the starting integer by -1,142,206.

Prime Factor Structure

Factorization String 37 × 31729
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,205,740
Proper Divisor Sum 31,767
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #1173961 ← → #1173979

Radix Representation

Decimal 1173973
Binary 100011110100111010101 (21 bits)
Octal 0o4364725
Hexadecimal 0x11E9D5

Divisor Catalog (4)

1 37 31,729 1,173,973

Collatz Trajectory (173 steps to reach 1)

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

1,173,973 3,521,920 1,760,960 880,480 440,240 220,120 110,060 55,030 27,515 82,546 41,273 123,820 61,910 30,955 92,866 46,433 139,300 69,650 34,825 104,476 52,238 26,119 78,358 39,179 117,538 58,769 176,308 88,154 44,077 132,232 66,116 33,058 16,529 49,588 24,794 12,397 37,192 18,596 9,298 4,649 13,948 6,974 3,487 10,462 5,231 15,694 7,847 23,542 11,771 35,314 17,657 52,972 26,486 13,243 39,730 19,865 59,596 29,798 14,899 44,698

More profiles

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