λ
Prime Ledger

4,272,406

2 × 17 × 125659
Deficient Even Composite

4,272,406 has the prime decomposition 2 × 17 × 125659. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 17 × 125659
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,785,640
Proper Divisor Sum 2,513,234
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #4272377 ← → #4272409

Radix Representation

Decimal 4272406
Binary 10000010011000100010110 (23 bits)
Octal 0o20230426
Hexadecimal 0x413116

Divisor Catalog (8)

1 2 17 34 125,659 251,318 2,136,203 4,272,406

Collatz Trajectory (105 steps to reach 1)

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

4,272,406 2,136,203 6,408,610 3,204,305 9,612,916 4,806,458 2,403,229 7,209,688 3,604,844 1,802,422 901,211 2,703,634 1,351,817 4,055,452 2,027,726 1,013,863 3,041,590 1,520,795 4,562,386 2,281,193 6,843,580 3,421,790 1,710,895 5,132,686 2,566,343 7,699,030 3,849,515 11,548,546 5,774,273 17,322,820 8,661,410 4,330,705 12,992,116 6,496,058 3,248,029 9,744,088 4,872,044 2,436,022 1,218,011 3,654,034 1,827,017 5,481,052 2,740,526 1,370,263 4,110,790 2,055,395 6,166,186 3,083,093 9,249,280 4,624,640 2,312,320 1,156,160 578,080 289,040 144,520 72,260 36,130 18,065 54,196 27,098

More profiles

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