λ
Harmonic Matrix

7,029,637

7029637
Deficient Odd Prime

7,029,637 has digital root 7. The neighboring primes are 7029611 and 7029641; its proper-divisor sum differs from the starting integer by -7,029,636.

Prime Factor Structure

Factorization String 7029637
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,029,638
Proper Divisor Sum 1
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7029611 ← → #7029641

Radix Representation

Decimal 7029637
Binary 11010110100001110000101 (23 bits)
Octal 0o32641605
Hexadecimal 0x6B4385

Divisor Catalog (2)

1 7,029,637

Collatz Trajectory (129 steps to reach 1)

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

7,029,637 21,088,912 10,544,456 5,272,228 2,636,114 1,318,057 3,954,172 1,977,086 988,543 2,965,630 1,482,815 4,448,446 2,224,223 6,672,670 3,336,335 10,009,006 5,004,503 15,013,510 7,506,755 22,520,266 11,260,133 33,780,400 16,890,200 8,445,100 4,222,550 2,111,275 6,333,826 3,166,913 9,500,740 4,750,370 2,375,185 7,125,556 3,562,778 1,781,389 5,344,168 2,672,084 1,336,042 668,021 2,004,064 1,002,032 501,016 250,508 125,254 62,627 187,882 93,941 281,824 140,912 70,456 35,228 17,614 8,807 26,422 13,211 39,634 19,817 59,452 29,726 14,863 44,590

More profiles

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