27,774,409

13 × 19 × 23 × 4889

27,774,409 factors as 13 × 19 × 23 × 4889. Its 16 positive divisors give a proper-divisor sum of 5,086,391, so this integer is deficient. The Collatz stopping time is 193 steps.

Prime Factor Structure

Factorization String 13 × 19 × 23 × 4889

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 32,860,800

Proper Divisor Sum 5,086,391

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #27774407 ← → #27774433

Radix Representation

Decimal	27774409
Binary	1101001111100110111001001 (25 bits)
Octal	0o151746711
Hexadecimal	0x1A7CDC9

Divisor Catalog (16)

1 13 19 23 247 299 437 4,889 5,681 63,557 92,891 112,447 1,207,583 1,461,811 2,136,493 27,774,409

Collatz Trajectory (193 steps to reach 1)

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

27,774,409 83,323,228 41,661,614 20,830,807 62,492,422 31,246,211 93,738,634 46,869,317 140,607,952 70,303,976 35,151,988 17,575,994 8,787,997 26,363,992 13,181,996 6,590,998 3,295,499 9,886,498 4,943,249 14,829,748 7,414,874 3,707,437 11,122,312 5,561,156 2,780,578 1,390,289 4,170,868 2,085,434 1,042,717 3,128,152 1,564,076 782,038 391,019 1,173,058 586,529 1,759,588 879,794 439,897 1,319,692 659,846 329,923 989,770 494,885 1,484,656 742,328 371,164 185,582 92,791 278,374 139,187 417,562 208,781 626,344 313,172 156,586 78,293 234,880 117,440 58,720 29,360

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