λ
Prime Ledger

1,407,628

22 × 37 × 9511
Deficient Even Composite

1,407,628 has the prime decomposition 2^2 × 37 × 9511. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 37 × 9511
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,530,192
Proper Divisor Sum 1,122,564
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #1407619 ← → #1407629

Radix Representation

Decimal 1407628
Binary 101010111101010001100 (21 bits)
Octal 0o5275214
Hexadecimal 0x157A8C

Divisor Catalog (12)

1 2 4 37 74 148 9,511 19,022 38,044 351,907 703,814 1,407,628

Collatz Trajectory (155 steps to reach 1)

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

1,407,628 703,814 351,907 1,055,722 527,861 1,583,584 791,792 395,896 197,948 98,974 49,487 148,462 74,231 222,694 111,347 334,042 167,021 501,064 250,532 125,266 62,633 187,900 93,950 46,975 140,926 70,463 211,390 105,695 317,086 158,543 475,630 237,815 713,446 356,723 1,070,170 535,085 1,605,256 802,628 401,314 200,657 601,972 300,986 150,493 451,480 225,740 112,870 56,435 169,306 84,653 253,960 126,980 63,490 31,745 95,236 47,618 23,809 71,428 35,714 17,857 53,572

More profiles

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