1,472,880

2⁴ × 3 × 5 × 17 × 19²

1,472,880 factors as 2^4 × 3 × 5 × 17 × 19^2. Its 120 positive divisors give a proper-divisor sum of 3,629,472, so this integer is abundant. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 17 × 19^2

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 5,102,352

Proper Divisor Sum 3,629,472

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #1472869 ← → #1472893

Radix Representation

Decimal	1472880
Binary	101100111100101110000 (21 bits)
Octal	0o5474560
Hexadecimal	0x167970

Divisor Catalog (60 of 120)

1 2 3 4 5 6 8 10 12 15 16 17 19 20 24 30 34 38 40 48 51 57 60 68 76 80 85 95 102 114 120 136 152 170 190 204 228 240 255 272 285 304 323 340 361 380 408 456 510 570 646 680 722 760 816 912 969 1,020 1,083 1,140

Collatz Trajectory (137 steps to reach 1)

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

1,472,880 736,440 368,220 184,110 92,055 276,166 138,083 414,250 207,125 621,376 310,688 155,344 77,672 38,836 19,418 9,709 29,128 14,564 7,282 3,641 10,924 5,462 2,731 8,194 4,097 12,292 6,146 3,073 9,220 4,610 2,305 6,916 3,458 1,729 5,188 2,594 1,297 3,892 1,946 973 2,920 1,460 730 365 1,096 548 274 137 412 206 103 310 155 466 233 700 350 175 526 263

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