λ
Sigma Notebook

1,484,064

25 × 32 × 5153
Abundant Even Composite

1,484,064 is even and not a perfect square. Its factorization is 2^5 × 3^2 × 5153 and its 36 divisors sum to 4,221,126.

Prime Factor Structure

Factorization String 2^5 × 3^2 × 5153
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 4,221,126
Proper Divisor Sum 2,737,062
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1484057 ← → #1484081

Radix Representation

Decimal 1484064
Binary 101101010010100100000 (21 bits)
Octal 0o5522440
Hexadecimal 0x16A520

Divisor Catalog (36)

1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 5,153 10,306 15,459 20,612 30,918 41,224 46,377 61,836 82,448 92,754 123,672 164,896 185,508 247,344 371,016 494,688 742,032 1,484,064

Collatz Trajectory (93 steps to reach 1)

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

1,484,064 742,032 371,016 185,508 92,754 46,377 139,132 69,566 34,783 104,350 52,175 156,526 78,263 234,790 117,395 352,186 176,093 528,280 264,140 132,070 66,035 198,106 99,053 297,160 148,580 74,290 37,145 111,436 55,718 27,859 83,578 41,789 125,368 62,684 31,342 15,671 47,014 23,507 70,522 35,261 105,784 52,892 26,446 13,223 39,670 19,835 59,506 29,753 89,260 44,630 22,315 66,946 33,473 100,420 50,210 25,105 75,316 37,658 18,829 56,488

More profiles

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