4,367,844

2² × 3⁴ × 13 × 17 × 61

4,367,844 is even and not a perfect square. Its factorization is 2^2 × 3^4 × 13 × 17 × 61 and its 120 divisors sum to 13,233,528.

Prime Factor Structure

Factorization String 2^2 × 3^4 × 13 × 17 × 61

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 13,233,528

Proper Divisor Sum 8,865,684

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4367843 ← → #4367863

Radix Representation

Decimal	4367844
Binary	10000101010010111100100 (23 bits)
Octal	0o20522744
Hexadecimal	0x42A5E4

Divisor Catalog (60 of 120)

1 2 3 4 6 9 12 13 17 18 26 27 34 36 39 51 52 54 61 68 78 81 102 108 117 122 153 156 162 183 204 221 234 244 306 324 351 366 442 459 468 549 612 663 702 732 793 884 918 1,037 1,053 1,098 1,326 1,377 1,404 1,586 1,647 1,836 1,989 2,074

Collatz Trajectory (136 steps to reach 1)

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

4,367,844 2,183,922 1,091,961 3,275,884 1,637,942 818,971 2,456,914 1,228,457 3,685,372 1,842,686 921,343 2,764,030 1,382,015 4,146,046 2,073,023 6,219,070 3,109,535 9,328,606 4,664,303 13,992,910 6,996,455 20,989,366 10,494,683 31,484,050 15,742,025 47,226,076 23,613,038 11,806,519 35,419,558 17,709,779 53,129,338 26,564,669 79,694,008 39,847,004 19,923,502 9,961,751 29,885,254 14,942,627 44,827,882 22,413,941 67,241,824 33,620,912 16,810,456 8,405,228 4,202,614 2,101,307 6,303,922 3,151,961 9,455,884 4,727,942 2,363,971 7,091,914 3,545,957 10,637,872 5,318,936 2,659,468 1,329,734 664,867 1,994,602 997,301

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