40,975,360

2¹⁰ × 5 × 53 × 151

40,975,360 factors as 2^10 × 5 × 53 × 151. Its 88 positive divisors give a proper-divisor sum of 59,835,296, so this integer is abundant. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2^10 × 5 × 53 × 151

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 88

Divisor Sum (σ) 100,810,656

Proper Divisor Sum 59,835,296

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #40975349 ← → #40975367

Radix Representation

Decimal	40975360
Binary	10011100010011110000000000 (26 bits)
Octal	0o234236000
Hexadecimal	0x2713C00

Divisor Catalog (60 of 88)

1 2 4 5 8 10 16 20 32 40 53 64 80 106 128 151 160 212 256 265 302 320 424 512 530 604 640 755 848 1,024 1,060 1,208 1,280 1,510 1,696 2,120 2,416 2,560 3,020 3,392 4,240 4,832 5,120 6,040 6,784 8,003 8,480 9,664 12,080 13,568 16,006 16,960 19,328 24,160 27,136 32,012 33,920 38,656 40,015 48,320

Collatz Trajectory (103 steps to reach 1)

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

40,975,360 20,487,680 10,243,840 5,121,920 2,560,960 1,280,480 640,240 320,120 160,060 80,030 40,015 120,046 60,023 180,070 90,035 270,106 135,053 405,160 202,580 101,290 50,645 151,936 75,968 37,984 18,992 9,496 4,748 2,374 1,187 3,562 1,781 5,344 2,672 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288

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