7,478,280

2³ × 3² × 5 × 20773

Starting at 7,478,280, the Collatz iteration reaches 1 after 111 steps. The first transition is 3739140; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 20773

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 24,305,580

Proper Divisor Sum 16,827,300

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7478279 ← → #7478287

Radix Representation

Decimal	7478280
Binary	11100100001110000001000 (23 bits)
Octal	0o34416010
Hexadecimal	0x721C08

Divisor Catalog (48)

1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 20,773 41,546 62,319 83,092 103,865 124,638 166,184 186,957 207,730 249,276 311,595 373,914 415,460 498,552 623,190 747,828 830,920 934,785 1,246,380 1,495,656 1,869,570 2,492,760 3,739,140 7,478,280

Collatz Trajectory (111 steps to reach 1)

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

7,478,280 3,739,140 1,869,570 934,785 2,804,356 1,402,178 701,089 2,103,268 1,051,634 525,817 1,577,452 788,726 394,363 1,183,090 591,545 1,774,636 887,318 443,659 1,330,978 665,489 1,996,468 998,234 499,117 1,497,352 748,676 374,338 187,169 561,508 280,754 140,377 421,132 210,566 105,283 315,850 157,925 473,776 236,888 118,444 59,222 29,611 88,834 44,417 133,252 66,626 33,313 99,940 49,970 24,985 74,956 37,478 18,739 56,218 28,109 84,328 42,164 21,082 10,541 31,624 15,812 7,906

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