7,704,892

2² × 13 × 148171

7,704,892 factors as 2^2 × 13 × 148171. Its 12 positive divisors give a proper-divisor sum of 6,815,964, so this integer is deficient. The Collatz stopping time is 217 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 148171

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 14,520,856

Proper Divisor Sum 6,815,964

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #7704887 ← → #7704911

Radix Representation

Decimal	7704892
Binary	11101011001000100111100 (23 bits)
Octal	0o35310474
Hexadecimal	0x75913C

Divisor Catalog (12)

1 2 4 13 26 52 148,171 296,342 592,684 1,926,223 3,852,446 7,704,892

Collatz Trajectory (217 steps to reach 1)

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

7,704,892 3,852,446 1,926,223 5,778,670 2,889,335 8,668,006 4,334,003 13,002,010 6,501,005 19,503,016 9,751,508 4,875,754 2,437,877 7,313,632 3,656,816 1,828,408 914,204 457,102 228,551 685,654 342,827 1,028,482 514,241 1,542,724 771,362 385,681 1,157,044 578,522 289,261 867,784 433,892 216,946 108,473 325,420 162,710 81,355 244,066 122,033 366,100 183,050 91,525 274,576 137,288 68,644 34,322 17,161 51,484 25,742 12,871 38,614 19,307 57,922 28,961 86,884 43,442 21,721 65,164 32,582 16,291 48,874

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