7,465,480

2³ × 5 × 11 × 19² × 47

Starting at 7,465,480, the Collatz iteration reaches 1 after 248 steps. The first transition is 3732740; the starting value is even with 96 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 11 × 19^2 × 47

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 19,751,040

Proper Divisor Sum 12,285,560

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #7465439 ← → #7465481

Radix Representation

Decimal	7465480
Binary	11100011110101000001000 (23 bits)
Octal	0o34365010
Hexadecimal	0x71EA08

Divisor Catalog (60 of 96)

1 2 4 5 8 10 11 19 20 22 38 40 44 47 55 76 88 94 95 110 152 188 190 209 220 235 361 376 380 418 440 470 517 722 760 836 893 940 1,034 1,045 1,444 1,672 1,786 1,805 1,880 2,068 2,090 2,585 2,888 3,572 3,610 3,971 4,136 4,180 4,465 5,170 7,144 7,220 7,942 8,360

Collatz Trajectory (248 steps to reach 1)

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

7,465,480 3,732,740 1,866,370 933,185 2,799,556 1,399,778 699,889 2,099,668 1,049,834 524,917 1,574,752 787,376 393,688 196,844 98,422 49,211 147,634 73,817 221,452 110,726 55,363 166,090 83,045 249,136 124,568 62,284 31,142 15,571 46,714 23,357 70,072 35,036 17,518 8,759 26,278 13,139 39,418 19,709 59,128 29,564 14,782 7,391 22,174 11,087 33,262 16,631 49,894 24,947 74,842 37,421 112,264 56,132 28,066 14,033 42,100 21,050 10,525 31,576 15,788 7,894

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