λ
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Atlas › Integer Profiles › Node 4,054,792

4,054,792

23 × 7 × 61 × 1187
Abundant Even Composite

4,054,792 factors as 2^3 × 7 × 61 × 1187. Its 32 positive divisors give a proper-divisor sum of 4,783,928, so this integer is abundant. The Collatz stopping time is 229 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 61 × 1187
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,838,720
Proper Divisor Sum 4,783,928
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #4054763 ← → #4054807

Radix Representation

Decimal 4054792
Binary 1111011101111100001000 (22 bits)
Octal 0o17357410
Hexadecimal 0x3DDF08

Divisor Catalog (32)

1 2 4 7 8 14 28 56 61 122 244 427 488 854 1,187 1,708 2,374 3,416 4,748 8,309 9,496 16,618 33,236 66,472 72,407 144,814 289,628 506,849 579,256 1,013,698 2,027,396 4,054,792

Collatz Trajectory (229 steps to reach 1)

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

4,054,792 2,027,396 1,013,698 506,849 1,520,548 760,274 380,137 1,140,412 570,206 285,103 855,310 427,655 1,282,966 641,483 1,924,450 962,225 2,886,676 1,443,338 721,669 2,165,008 1,082,504 541,252 270,626 135,313 405,940 202,970 101,485 304,456 152,228 76,114 38,057 114,172 57,086 28,543 85,630 42,815 128,446 64,223 192,670 96,335 289,006 144,503 433,510 216,755 650,266 325,133 975,400 487,700 243,850 121,925 365,776 182,888 91,444 45,722 22,861 68,584 34,292 17,146 8,573 25,720

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