λ
Math Directory

7,209,349

7 × 1029907
Deficient Odd Composite

7,209,349 factors as 7 × 1029907. Its 4 positive divisors give a proper-divisor sum of 1,029,915, so this integer is deficient. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 7 × 1029907
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,239,264
Proper Divisor Sum 1,029,915
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7209347 ← → #7209359

Radix Representation

Decimal 7209349
Binary 11011100000000110000101 (23 bits)
Octal 0o33400605
Hexadecimal 0x6E0185

Divisor Catalog (4)

1 7 1,029,907 7,209,349

Collatz Trajectory (98 steps to reach 1)

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

7,209,349 21,628,048 10,814,024 5,407,012 2,703,506 1,351,753 4,055,260 2,027,630 1,013,815 3,041,446 1,520,723 4,562,170 2,281,085 6,843,256 3,421,628 1,710,814 855,407 2,566,222 1,283,111 3,849,334 1,924,667 5,774,002 2,887,001 8,661,004 4,330,502 2,165,251 6,495,754 3,247,877 9,743,632 4,871,816 2,435,908 1,217,954 608,977 1,826,932 913,466 456,733 1,370,200 685,100 342,550 171,275 513,826 256,913 770,740 385,370 192,685 578,056 289,028 144,514 72,257 216,772 108,386 54,193 162,580 81,290 40,645 121,936 60,968 30,484 15,242 7,621

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