λ
Harmonic Matrix

9,350,967

3 × 409 × 7621
Deficient Odd Composite

9,350,967 has digital root 3. The neighboring primes are 9350951 and 9350987; its proper-divisor sum differs from the starting integer by -6,201,854.

Prime Factor Structure

Factorization String 3 × 409 × 7621
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,500,080
Proper Divisor Sum 3,149,113
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9350951 ← → #9350987

Radix Representation

Decimal 9350967
Binary 100011101010111100110111 (24 bits)
Octal 0o43527467
Hexadecimal 0x8EAF37

Divisor Catalog (8)

1 3 409 1,227 7,621 22,863 3,116,989 9,350,967

Collatz Trajectory (181 steps to reach 1)

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

9,350,967 28,052,902 14,026,451 42,079,354 21,039,677 63,119,032 31,559,516 15,779,758 7,889,879 23,669,638 11,834,819 35,504,458 17,752,229 53,256,688 26,628,344 13,314,172 6,657,086 3,328,543 9,985,630 4,992,815 14,978,446 7,489,223 22,467,670 11,233,835 33,701,506 16,850,753 50,552,260 25,276,130 12,638,065 37,914,196 18,957,098 9,478,549 28,435,648 14,217,824 7,108,912 3,554,456 1,777,228 888,614 444,307 1,332,922 666,461 1,999,384 999,692 499,846 249,923 749,770 374,885 1,124,656 562,328 281,164 140,582 70,291 210,874 105,437 316,312 158,156 79,078 39,539 118,618 59,309

More profiles

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