λ
Harmonic Matrix

737,887

737887
Deficient Odd Prime

737,887 has digital root 4. The neighboring primes are 737873 and 737897; its proper-divisor sum differs from the starting integer by -737,886.

Prime Factor Structure

Factorization String 737887
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 737,888
Proper Divisor Sum 1
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #737873 ← → #737897

Radix Representation

Decimal 737887
Binary 10110100001001011111 (20 bits)
Octal 0o2641137
Hexadecimal 0xB425F

Divisor Catalog (2)

1 737,887

Collatz Trajectory (105 steps to reach 1)

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

737,887 2,213,662 1,106,831 3,320,494 1,660,247 4,980,742 2,490,371 7,471,114 3,735,557 11,206,672 5,603,336 2,801,668 1,400,834 700,417 2,101,252 1,050,626 525,313 1,575,940 787,970 393,985 1,181,956 590,978 295,489 886,468 443,234 221,617 664,852 332,426 166,213 498,640 249,320 124,660 62,330 31,165 93,496 46,748 23,374 11,687 35,062 17,531 52,594 26,297 78,892 39,446 19,723 59,170 29,585 88,756 44,378 22,189 66,568 33,284 16,642 8,321 24,964 12,482 6,241 18,724 9,362 4,681

More profiles

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