λ
Matchaa Zalai

1,373,509

109 × 12601
Deficient Odd Composite

1,373,509 factors as 109 × 12601. Its 4 positive divisors give a proper-divisor sum of 12,711, so this integer is deficient. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 109 × 12601
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,386,220
Proper Divisor Sum 12,711
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #1373501 ← → #1373521

Radix Representation

Decimal 1373509
Binary 101001111010101000101 (21 bits)
Octal 0o5172505
Hexadecimal 0x14F545

Divisor Catalog (4)

1 109 12,601 1,373,509

Collatz Trajectory (155 steps to reach 1)

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

1,373,509 4,120,528 2,060,264 1,030,132 515,066 257,533 772,600 386,300 193,150 96,575 289,726 144,863 434,590 217,295 651,886 325,943 977,830 488,915 1,466,746 733,373 2,200,120 1,100,060 550,030 275,015 825,046 412,523 1,237,570 618,785 1,856,356 928,178 464,089 1,392,268 696,134 348,067 1,044,202 522,101 1,566,304 783,152 391,576 195,788 97,894 48,947 146,842 73,421 220,264 110,132 55,066 27,533 82,600 41,300 20,650 10,325 30,976 15,488 7,744 3,872 1,936 968 484 242

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