13,824,431

1667 × 8293

13,824,431 factors as 1667 × 8293. Its 4 positive divisors give a proper-divisor sum of 9,961, so this integer is deficient. The Collatz stopping time is 254 steps.

Prime Factor Structure

Factorization String 1667 × 8293

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 13,834,392

Proper Divisor Sum 9,961

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #13824409 ← → #13824443

Radix Representation

Decimal	13824431
Binary	110100101111000110101111 (24 bits)
Octal	0o64570657
Hexadecimal	0xD2F1AF

Divisor Catalog (4)

1 1,667 8,293 13,824,431

Collatz Trajectory (254 steps to reach 1)

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

13,824,431 41,473,294 20,736,647 62,209,942 31,104,971 93,314,914 46,657,457 139,972,372 69,986,186 34,993,093 104,979,280 52,489,640 26,244,820 13,122,410 6,561,205 19,683,616 9,841,808 4,920,904 2,460,452 1,230,226 615,113 1,845,340 922,670 461,335 1,384,006 692,003 2,076,010 1,038,005 3,114,016 1,557,008 778,504 389,252 194,626 97,313 291,940 145,970 72,985 218,956 109,478 54,739 164,218 82,109 246,328 123,164 61,582 30,791 92,374 46,187 138,562 69,281 207,844 103,922 51,961 155,884 77,942 38,971 116,914 58,457 175,372 87,686

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