46,176,640

2⁷ × 5 × 23 × 3137

46,176,640 factors as 2^7 × 5 × 23 × 3137. Its 64 positive divisors give a proper-divisor sum of 69,050,720, so this integer is abundant. The Collatz stopping time is 72 steps.

Prime Factor Structure

Factorization String 2^7 × 5 × 23 × 3137

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 115,227,360

Proper Divisor Sum 69,050,720

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #46176623 ← → #46176643

Radix Representation

Decimal	46176640
Binary	10110000001001100110000000 (26 bits)
Octal	0o260114600
Hexadecimal	0x2C09980

Divisor Catalog (60 of 64)

1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 320 368 460 640 736 920 1,472 1,840 2,944 3,137 3,680 6,274 7,360 12,548 14,720 15,685 25,096 31,370 50,192 62,740 72,151 100,384 125,480 144,302 200,768 250,960 288,604 360,755 401,536 501,920 577,208 721,510 1,003,840 1,154,416 1,443,020 2,007,680 2,308,832 2,886,040 4,617,664 5,772,080

Collatz Trajectory (72 steps to reach 1)

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

46,176,640 23,088,320 11,544,160 5,772,080 2,886,040 1,443,020 721,510 360,755 1,082,266 541,133 1,623,400 811,700 405,850 202,925 608,776 304,388 152,194 76,097 228,292 114,146 57,073 171,220 85,610 42,805 128,416 64,208 32,104 16,052 8,026 4,013 12,040 6,020 3,010 1,505 4,516 2,258 1,129 3,388 1,694 847 2,542 1,271 3,814 1,907 5,722 2,861 8,584 4,292 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227

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