2,472,360

2³ × 3 × 5 × 11 × 1873

2,472,360 has digital root 6. The neighboring primes are 2472359 and 2472373; its proper-divisor sum differs from the starting integer by 3,150,960.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 11 × 1873

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 8,095,680

Proper Divisor Sum 5,623,320

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #2472359 ← → #2472373

Radix Representation

Decimal	2472360
Binary	1001011011100110101000 (22 bits)
Octal	0o11334650
Hexadecimal	0x25B9A8

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1,320 1,873 3,746 5,619 7,492 9,365 11,238 14,984 18,730 20,603 22,476 28,095 37,460 41,206 44,952 56,190 61,809 74,920 82,412 103,015 112,380 123,618 164,824 206,030 224,760 247,236 309,045 412,060 494,472

Collatz Trajectory (68 steps to reach 1)

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

2,472,360 1,236,180 618,090 309,045 927,136 463,568 231,784 115,892 57,946 28,973 86,920 43,460 21,730 10,865 32,596 16,298 8,149 24,448 12,224 6,112 3,056 1,528 764 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13

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