28,623,960

2³ × 3² × 5 × 23 × 3457

28,623,960 factors as 2^3 × 3^2 × 5 × 23 × 3457. Its 96 positive divisors give a proper-divisor sum of 68,476,680, so this integer is abundant. The Collatz stopping time is 268 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 23 × 3457

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 97,100,640

Proper Divisor Sum 68,476,680

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #28623949 ← → #28623979

Radix Representation

Decimal	28623960
Binary	1101101001100010001011000 (25 bits)
Octal	0o155142130
Hexadecimal	0x1B4C458

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 345 360 414 460 552 690 828 920 1,035 1,380 1,656 2,070 2,760 3,457 4,140 6,914 8,280 10,371 13,828 17,285 20,742 27,656 31,113 34,570 41,484 51,855 62,226

Collatz Trajectory (268 steps to reach 1)

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

28,623,960 14,311,980 7,155,990 3,577,995 10,733,986 5,366,993 16,100,980 8,050,490 4,025,245 12,075,736 6,037,868 3,018,934 1,509,467 4,528,402 2,264,201 6,792,604 3,396,302 1,698,151 5,094,454 2,547,227 7,641,682 3,820,841 11,462,524 5,731,262 2,865,631 8,596,894 4,298,447 12,895,342 6,447,671 19,343,014 9,671,507 29,014,522 14,507,261 43,521,784 21,760,892 10,880,446 5,440,223 16,320,670 8,160,335 24,481,006 12,240,503 36,721,510 18,360,755 55,082,266 27,541,133 82,623,400 41,311,700 20,655,850 10,327,925 30,983,776 15,491,888 7,745,944 3,872,972 1,936,486 968,243 2,904,730 1,452,365 4,357,096 2,178,548 1,089,274

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