7,206,823

13 × 37 × 14983

7,206,823 factors as 13 × 37 × 14983. Its 8 positive divisors give a proper-divisor sum of 764,665, so this integer is deficient. The Collatz stopping time is 372 steps.

Prime Factor Structure

Factorization String 13 × 37 × 14983

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 7,971,488

Proper Divisor Sum 764,665

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #7206821 ← → #7206841

Radix Representation

Decimal	7206823
Binary	11011011111011110100111 (23 bits)
Octal	0o33373647
Hexadecimal	0x6DF7A7

Divisor Catalog (8)

1 13 37 481 14,983 194,779 554,371 7,206,823

Collatz Trajectory (372 steps to reach 1)

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

7,206,823 21,620,470 10,810,235 32,430,706 16,215,353 48,646,060 24,323,030 12,161,515 36,484,546 18,242,273 54,726,820 27,363,410 13,681,705 41,045,116 20,522,558 10,261,279 30,783,838 15,391,919 46,175,758 23,087,879 69,263,638 34,631,819 103,895,458 51,947,729 155,843,188 77,921,594 38,960,797 116,882,392 58,441,196 29,220,598 14,610,299 43,830,898 21,915,449 65,746,348 32,873,174 16,436,587 49,309,762 24,654,881 73,964,644 36,982,322 18,491,161 55,473,484 27,736,742 13,868,371 41,605,114 20,802,557 62,407,672 31,203,836 15,601,918 7,800,959 23,402,878 11,701,439 35,104,318 17,552,159 52,656,478 26,328,239 78,984,718 39,492,359 118,477,078 59,238,539

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