λ
Prime Ledger

1,617,842

2 × 61 × 89 × 149
Deficient Even Composite

1,617,842 has the prime decomposition 2 × 61 × 89 × 149. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 61 × 89 × 149
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,511,000
Proper Divisor Sum 893,158
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #1617827 ← → #1617871

Radix Representation

Decimal 1617842
Binary 110001010111110110010 (21 bits)
Octal 0o6127662
Hexadecimal 0x18AFB2

Divisor Catalog (16)

1 2 61 89 122 149 178 298 5,429 9,089 10,858 13,261 18,178 26,522 808,921 1,617,842

Collatz Trajectory (207 steps to reach 1)

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

1,617,842 808,921 2,426,764 1,213,382 606,691 1,820,074 910,037 2,730,112 1,365,056 682,528 341,264 170,632 85,316 42,658 21,329 63,988 31,994 15,997 47,992 23,996 11,998 5,999 17,998 8,999 26,998 13,499 40,498 20,249 60,748 30,374 15,187 45,562 22,781 68,344 34,172 17,086 8,543 25,630 12,815 38,446 19,223 57,670 28,835 86,506 43,253 129,760 64,880 32,440 16,220 8,110 4,055 12,166 6,083 18,250 9,125 27,376 13,688 6,844 3,422 1,711

More profiles

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