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Atlas › Integer Profiles › Node 36,937,404

36,937,404

22 × 33 × 7 × 48859
Abundant Even Composite

36,937,404 factors as 2^2 × 3^3 × 7 × 48859. Its 48 positive divisors give a proper-divisor sum of 72,508,996, so this integer is abundant. The Collatz stopping time is 183 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 7 × 48859
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 109,446,400
Proper Divisor Sum 72,508,996
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #36937393 ← → #36937409

Radix Representation

Decimal 36937404
Binary 10001100111001111010111100 (26 bits)
Octal 0o214717274
Hexadecimal 0x2339EBC

Divisor Catalog (48)

1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 48,859 97,718 146,577 195,436 293,154 342,013 439,731 586,308 684,026 879,462 1,026,039 1,319,193 1,368,052 1,758,924 2,052,078 2,638,386 3,078,117 4,104,156 5,276,772 6,156,234 9,234,351 12,312,468 18,468,702 36,937,404

Collatz Trajectory (183 steps to reach 1)

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

36,937,404 18,468,702 9,234,351 27,703,054 13,851,527 41,554,582 20,777,291 62,331,874 31,165,937 93,497,812 46,748,906 23,374,453 70,123,360 35,061,680 17,530,840 8,765,420 4,382,710 2,191,355 6,574,066 3,287,033 9,861,100 4,930,550 2,465,275 7,395,826 3,697,913 11,093,740 5,546,870 2,773,435 8,320,306 4,160,153 12,480,460 6,240,230 3,120,115 9,360,346 4,680,173 14,040,520 7,020,260 3,510,130 1,755,065 5,265,196 2,632,598 1,316,299 3,948,898 1,974,449 5,923,348 2,961,674 1,480,837 4,442,512 2,221,256 1,110,628 555,314 277,657 832,972 416,486 208,243 624,730 312,365 937,096 468,548 234,274

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