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Atlas › Integer Profiles › Node 2,907,264

2,907,264

27 × 3 × 67 × 113
Abundant Even Composite

Prime Factor Structure

Factorization String 2^7 × 3 × 67 × 113
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 7,907,040
Proper Divisor Sum 4,999,776
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2907263 ← → #2907271

Radix Representation

Decimal 2907264
Binary 1011000101110010000000 (22 bits)
Octal 0o13056200
Hexadecimal 0x2C5C80

Divisor Catalog (60 of 64)

1 2 3 4 6 8 12 16 24 32 48 64 67 96 113 128 134 192 201 226 268 339 384 402 452 536 678 804 904 1,072 1,356 1,608 1,808 2,144 2,712 3,216 3,616 4,288 5,424 6,432 7,232 7,571 8,576 10,848 12,864 14,464 15,142 21,696 22,713 25,728 30,284 43,392 45,426 60,568 90,852 121,136 181,704 242,272 363,408 484,544

Collatz Trajectory (50 steps to reach 1)

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

2,907,264 1,453,632 726,816 363,408 181,704 90,852 45,426 22,713 68,140 34,070 17,035 51,106 25,553 76,660 38,330 19,165 57,496 28,748 14,374 7,187 21,562 10,781 32,344 16,172 8,086 4,043 12,130 6,065 18,196 9,098 4,549 13,648 6,824 3,412 1,706 853 2,560 1,280 640 320 160 80 40 20 10 5 16 8 4 2 1

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