λ
Harmonic Matrix

1,189,507

11 × 17 × 6361
Deficient Odd Composite

1,189,507 has digital root 4. The neighboring primes are 1189483 and 1189553; its proper-divisor sum differs from the starting integer by -1,004,822.

Prime Factor Structure

Factorization String 11 × 17 × 6361
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,374,192
Proper Divisor Sum 184,685
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #1189483 ← → #1189553

Radix Representation

Decimal 1189507
Binary 100100010011010000011 (21 bits)
Octal 0o4423203
Hexadecimal 0x122683

Divisor Catalog (8)

1 11 17 187 6,361 69,971 108,137 1,189,507

Collatz Trajectory (67 steps to reach 1)

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

1,189,507 3,568,522 1,784,261 5,352,784 2,676,392 1,338,196 669,098 334,549 1,003,648 501,824 250,912 125,456 62,728 31,364 15,682 7,841 23,524 11,762 5,881 17,644 8,822 4,411 13,234 6,617 19,852 9,926 4,963 14,890 7,445 22,336 11,168 5,584 2,792 1,396 698 349 1,048 524 262 131 394 197 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40

More profiles

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