27,488,996

2² × 839 × 8191

27,488,996 factors as 2^2 × 839 × 8191. Its 12 positive divisors give a proper-divisor sum of 20,679,964, so this integer is deficient. The Collatz stopping time is 224 steps.

Prime Factor Structure

Factorization String 2^2 × 839 × 8191

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 48,168,960

Proper Divisor Sum 20,679,964

Digit Sum / Digital Root 53 (Root: 8)

Adjacent Primes #27488963 ← → #27489041

Radix Representation

Decimal	27488996
Binary	1101000110111001011100100 (25 bits)
Octal	0o150671344
Hexadecimal	0x1A372E4

Divisor Catalog (12)

1 2 4 839 1,678 3,356 8,191 16,382 32,764 6,872,249 13,744,498 27,488,996

Collatz Trajectory (224 steps to reach 1)

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

27,488,996 13,744,498 6,872,249 20,616,748 10,308,374 5,154,187 15,462,562 7,731,281 23,193,844 11,596,922 5,798,461 17,395,384 8,697,692 4,348,846 2,174,423 6,523,270 3,261,635 9,784,906 4,892,453 14,677,360 7,338,680 3,669,340 1,834,670 917,335 2,752,006 1,376,003 4,128,010 2,064,005 6,192,016 3,096,008 1,548,004 774,002 387,001 1,161,004 580,502 290,251 870,754 435,377 1,306,132 653,066 326,533 979,600 489,800 244,900 122,450 61,225 183,676 91,838 45,919 137,758 68,879 206,638 103,319 309,958 154,979 464,938 232,469 697,408 348,704 174,352

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