1,187,367

3 × 19 × 37 × 563

1,187,367 factors as 3 × 19 × 37 × 563. Its 16 positive divisors give a proper-divisor sum of 527,193, so this integer is deficient. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 3 × 19 × 37 × 563

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,714,560

Proper Divisor Sum 527,193

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #1187363 ← → #1187369

Radix Representation

Decimal	1187367
Binary	100100001111000100111 (21 bits)
Octal	0o4417047
Hexadecimal	0x121E27

Divisor Catalog (16)

1 3 19 37 57 111 563 703 1,689 2,109 10,697 20,831 32,091 62,493 395,789 1,187,367

Collatz Trajectory (160 steps to reach 1)

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

1,187,367 3,562,102 1,781,051 5,343,154 2,671,577 8,014,732 4,007,366 2,003,683 6,011,050 3,005,525 9,016,576 4,508,288 2,254,144 1,127,072 563,536 281,768 140,884 70,442 35,221 105,664 52,832 26,416 13,208 6,604 3,302 1,651 4,954 2,477 7,432 3,716 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142 71 214

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