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1,361,367

34 × 75
Deficient Odd Composite

1,361,367 factors as 3^4 × 7^5. Its 30 positive divisors give a proper-divisor sum of 1,011,201, so this integer is deficient. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 3^4 × 7^5
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 2,372,568
Proper Divisor Sum 1,011,201
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1361363 ← → #1361383

Radix Representation

Decimal 1361367
Binary 101001100010111010111 (21 bits)
Octal 0o5142727
Hexadecimal 0x14C5D7

Divisor Catalog (30)

1 3 7 9 21 27 49 63 81 147 189 343 441 567 1,029 1,323 2,401 3,087 3,969 7,203 9,261 16,807 21,609 27,783 50,421 64,827 151,263 194,481 453,789 1,361,367

Collatz Trajectory (168 steps to reach 1)

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

1,361,367 4,084,102 2,042,051 6,126,154 3,063,077 9,189,232 4,594,616 2,297,308 1,148,654 574,327 1,722,982 861,491 2,584,474 1,292,237 3,876,712 1,938,356 969,178 484,589 1,453,768 726,884 363,442 181,721 545,164 272,582 136,291 408,874 204,437 613,312 306,656 153,328 76,664 38,332 19,166 9,583 28,750 14,375 43,126 21,563 64,690 32,345 97,036 48,518 24,259 72,778 36,389 109,168 54,584 27,292 13,646 6,823 20,470 10,235 30,706 15,353 46,060 23,030 11,515 34,546 17,273 51,820

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