7,724,206

2 × 7 × 551729

7,724,206 factors as 2 × 7 × 551729. Its 8 positive divisors give a proper-divisor sum of 5,517,314, so this integer is deficient. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2 × 7 × 551729

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 13,241,520

Proper Divisor Sum 5,517,314

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #7724201 ← → #7724257

Radix Representation

Decimal	7724206
Binary	11101011101110010101110 (23 bits)
Octal	0o35356256
Hexadecimal	0x75DCAE

Divisor Catalog (8)

1 2 7 14 551,729 1,103,458 3,862,103 7,724,206

Collatz Trajectory (98 steps to reach 1)

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

7,724,206 3,862,103 11,586,310 5,793,155 17,379,466 8,689,733 26,069,200 13,034,600 6,517,300 3,258,650 1,629,325 4,887,976 2,443,988 1,221,994 610,997 1,832,992 916,496 458,248 229,124 114,562 57,281 171,844 85,922 42,961 128,884 64,442 32,221 96,664 48,332 24,166 12,083 36,250 18,125 54,376 27,188 13,594 6,797 20,392 10,196 5,098 2,549 7,648 3,824 1,912 956 478 239 718 359 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367

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