λ
Modular Archive

9,372,129

3 × 13 × 47 × 5113
Deficient Odd Composite

The decimal integer 9,372,129 is 100011110000000111100001 in binary (24 bits), 43600741 in octal and 8F01E1 in hexadecimal. Its digit sum is 33.

Prime Factor Structure

Factorization String 3 × 13 × 47 × 5113
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 13,746,432
Proper Divisor Sum 4,374,303
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9372127 ← → #9372131

Radix Representation

Decimal 9372129
Binary 100011110000000111100001 (24 bits)
Octal 0o43600741
Hexadecimal 0x8F01E1

Divisor Catalog (16)

1 3 13 39 47 141 611 1,833 5,113 15,339 66,469 199,407 240,311 720,933 3,124,043 9,372,129

Collatz Trajectory (132 steps to reach 1)

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

9,372,129 28,116,388 14,058,194 7,029,097 21,087,292 10,543,646 5,271,823 15,815,470 7,907,735 23,723,206 11,861,603 35,584,810 17,792,405 53,377,216 26,688,608 13,344,304 6,672,152 3,336,076 1,668,038 834,019 2,502,058 1,251,029 3,753,088 1,876,544 938,272 469,136 234,568 117,284 58,642 29,321 87,964 43,982 21,991 65,974 32,987 98,962 49,481 148,444 74,222 37,111 111,334 55,667 167,002 83,501 250,504 125,252 62,626 31,313 93,940 46,970 23,485 70,456 35,228 17,614 8,807 26,422 13,211 39,634 19,817 59,452

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