λ
Sigma Notebook

7,700,329

7 × 13 × 37 × 2287
Deficient Odd Composite

7,700,329 is odd and not a perfect square. Its factorization is 7 × 13 × 37 × 2287 and its 16 divisors sum to 9,737,728.

Prime Factor Structure

Factorization String 7 × 13 × 37 × 2287
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,737,728
Proper Divisor Sum 2,037,399
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7700327 ← → #7700347

Radix Representation

Decimal 7700329
Binary 11101010111111101101001 (23 bits)
Octal 0o35277551
Hexadecimal 0x757F69

Divisor Catalog (16)

1 7 13 37 91 259 481 2,287 3,367 16,009 29,731 84,619 208,117 592,333 1,100,047 7,700,329

Collatz Trajectory (217 steps to reach 1)

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

7,700,329 23,100,988 11,550,494 5,775,247 17,325,742 8,662,871 25,988,614 12,994,307 38,982,922 19,491,461 58,474,384 29,237,192 14,618,596 7,309,298 3,654,649 10,963,948 5,481,974 2,740,987 8,222,962 4,111,481 12,334,444 6,167,222 3,083,611 9,250,834 4,625,417 13,876,252 6,938,126 3,469,063 10,407,190 5,203,595 15,610,786 7,805,393 23,416,180 11,708,090 5,854,045 17,562,136 8,781,068 4,390,534 2,195,267 6,585,802 3,292,901 9,878,704 4,939,352 2,469,676 1,234,838 617,419 1,852,258 926,129 2,778,388 1,389,194 694,597 2,083,792 1,041,896 520,948 260,474 130,237 390,712 195,356 97,678 48,839

More profiles

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