40,720,372

2² × 7² × 11² × 17 × 101

40,720,372 factors as 2^2 × 7^2 × 11^2 × 17 × 101. Its 108 positive divisors give a proper-divisor sum of 56,710,640, so this integer is abundant. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 11^2 × 17 × 101

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 108

Divisor Sum (σ) 97,431,012

Proper Divisor Sum 56,710,640

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #40720357 ← → #40720399

Radix Representation

Decimal	40720372
Binary	10011011010101011111110100 (26 bits)
Octal	0o233253764
Hexadecimal	0x26D57F4

Divisor Catalog (60 of 108)

1 2 4 7 11 14 17 22 28 34 44 49 68 77 98 101 119 121 154 187 196 202 238 242 308 374 404 476 484 539 707 748 833 847 1,078 1,111 1,309 1,414 1,666 1,694 1,717 2,057 2,156 2,222 2,618 2,828 3,332 3,388 3,434 4,114 4,444 4,949 5,236 5,929 6,868 7,777 8,228 9,163 9,898 11,858

Collatz Trajectory (165 steps to reach 1)

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

40,720,372 20,360,186 10,180,093 30,540,280 15,270,140 7,635,070 3,817,535 11,452,606 5,726,303 17,178,910 8,589,455 25,768,366 12,884,183 38,652,550 19,326,275 57,978,826 28,989,413 86,968,240 43,484,120 21,742,060 10,871,030 5,435,515 16,306,546 8,153,273 24,459,820 12,229,910 6,114,955 18,344,866 9,172,433 27,517,300 13,758,650 6,879,325 20,637,976 10,318,988 5,159,494 2,579,747 7,739,242 3,869,621 11,608,864 5,804,432 2,902,216 1,451,108 725,554 362,777 1,088,332 544,166 272,083 816,250 408,125 1,224,376 612,188 306,094 153,047 459,142 229,571 688,714 344,357 1,033,072 516,536 258,268

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