47,423,232

2⁸ × 3⁴ × 2287

47,423,232 factors as 2^8 × 3^4 × 2287. Its 90 positive divisors give a proper-divisor sum of 94,046,096, so this integer is abundant. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2^8 × 3^4 × 2287

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 90

Divisor Sum (σ) 141,469,328

Proper Divisor Sum 94,046,096

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #47423227 ← → #47423239

Radix Representation

Decimal	47423232
Binary	10110100111001111100000000 (26 bits)
Octal	0o264717400
Hexadecimal	0x2D39F00

Divisor Catalog (60 of 90)

1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1,152 1,296 1,728 2,287 2,304 2,592 3,456 4,574 5,184 6,861 6,912 9,148 10,368 13,722 18,296 20,583 20,736 27,444 36,592 41,166 54,888 61,749 73,184 82,332 109,776

Collatz Trajectory (124 steps to reach 1)

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

47,423,232 23,711,616 11,855,808 5,927,904 2,963,952 1,481,976 740,988 370,494 185,247 555,742 277,871 833,614 416,807 1,250,422 625,211 1,875,634 937,817 2,813,452 1,406,726 703,363 2,110,090 1,055,045 3,165,136 1,582,568 791,284 395,642 197,821 593,464 296,732 148,366 74,183 222,550 111,275 333,826 166,913 500,740 250,370 125,185 375,556 187,778 93,889 281,668 140,834 70,417 211,252 105,626 52,813 158,440 79,220 39,610 19,805 59,416 29,708 14,854 7,427 22,282 11,141 33,424 16,712 8,356

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