λ
Prime Ledger

1,472,746

2 × 11 × 66943
Deficient Even Composite

1,472,746 has the prime decomposition 2 × 11 × 66943. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 11 × 66943
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,409,984
Proper Divisor Sum 937,238
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #1472743 ← → #1472767

Radix Representation

Decimal 1472746
Binary 101100111100011101010 (21 bits)
Octal 0o5474352
Hexadecimal 0x1678EA

Divisor Catalog (8)

1 2 11 22 66,943 133,886 736,373 1,472,746

Collatz Trajectory (181 steps to reach 1)

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

1,472,746 736,373 2,209,120 1,104,560 552,280 276,140 138,070 69,035 207,106 103,553 310,660 155,330 77,665 232,996 116,498 58,249 174,748 87,374 43,687 131,062 65,531 196,594 98,297 294,892 147,446 73,723 221,170 110,585 331,756 165,878 82,939 248,818 124,409 373,228 186,614 93,307 279,922 139,961 419,884 209,942 104,971 314,914 157,457 472,372 236,186 118,093 354,280 177,140 88,570 44,285 132,856 66,428 33,214 16,607 49,822 24,911 74,734 37,367 112,102 56,051

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