1,346,367

3 × 11² × 3709

1,346,367 factors as 3 × 11^2 × 3709. Its 12 positive divisors give a proper-divisor sum of 627,353, so this integer is deficient. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 3 × 11^2 × 3709

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,973,720

Proper Divisor Sum 627,353

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #1346363 ← → #1346369

Radix Representation

Decimal	1346367
Binary	101001000101100111111 (21 bits)
Octal	0o5105477
Hexadecimal	0x148B3F

Divisor Catalog (12)

1 3 11 33 121 363 3,709 11,127 40,799 122,397 448,789 1,346,367

Collatz Trajectory (186 steps to reach 1)

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

1,346,367 4,039,102 2,019,551 6,058,654 3,029,327 9,087,982 4,543,991 13,631,974 6,815,987 20,447,962 10,223,981 30,671,944 15,335,972 7,667,986 3,833,993 11,501,980 5,750,990 2,875,495 8,626,486 4,313,243 12,939,730 6,469,865 19,409,596 9,704,798 4,852,399 14,557,198 7,278,599 21,835,798 10,917,899 32,753,698 16,376,849 49,130,548 24,565,274 12,282,637 36,847,912 18,423,956 9,211,978 4,605,989 13,817,968 6,908,984 3,454,492 1,727,246 863,623 2,590,870 1,295,435 3,886,306 1,943,153 5,829,460 2,914,730 1,457,365 4,372,096 2,186,048 1,093,024 546,512 273,256 136,628 68,314 34,157 102,472 51,236

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