2,547,337

13² × 15073

2,547,337 factors as 13^2 × 15073. Its 6 positive divisors give a proper-divisor sum of 211,205, so this integer is deficient. The Collatz stopping time is 249 steps.

Prime Factor Structure

Factorization String 13^2 × 15073

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 2,758,542

Proper Divisor Sum 211,205

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #2547323 ← → #2547341

Radix Representation

Decimal	2547337
Binary	1001101101111010001001 (22 bits)
Octal	0o11557211
Hexadecimal	0x26DE89

Divisor Catalog (6)

1 13 169 15,073 195,949 2,547,337

Collatz Trajectory (249 steps to reach 1)

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

2,547,337 7,642,012 3,821,006 1,910,503 5,731,510 2,865,755 8,597,266 4,298,633 12,895,900 6,447,950 3,223,975 9,671,926 4,835,963 14,507,890 7,253,945 21,761,836 10,880,918 5,440,459 16,321,378 8,160,689 24,482,068 12,241,034 6,120,517 18,361,552 9,180,776 4,590,388 2,295,194 1,147,597 3,442,792 1,721,396 860,698 430,349 1,291,048 645,524 322,762 161,381 484,144 242,072 121,036 60,518 30,259 90,778 45,389 136,168 68,084 34,042 17,021 51,064 25,532 12,766 6,383 19,150 9,575 28,726 14,363 43,090 21,545 64,636 32,318 16,159

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